Home Math Lengthy Division | Technique | Steps | Examples

Lengthy Division | Technique | Steps | Examples

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Lengthy Division | Technique | Steps | Examples

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As we all know that the division is to distribute a given worth
or amount into teams having equal values. In lengthy division, values on the
particular person place (1000’s, A whole bunch, Tens, Ones) are dividend one after the other
beginning with the very best place.

Lengthy Division of two Digit Quantity by 1 Digit Quantity:

Division will be proven in two methods. e.g. Quick type and Lengthy type.


Quick types of division –

Lengthy types of division –

Short Forms of Division
Long Forms of Division

LONG DIVISION METHOD

Division reality 24 ÷ 8 = 3 will also be written as

Long Division 24 Divided by 8

That is known as lengthy type of division.

Some extra examples of writing division information in lengthy type are given beneath:

Long Division and Short Division Forms

Phrases Associated to Lengthy Division Technique

There are primarily three phrases associated to lengthy division methodology.These are divisor, dividend and quotient.

For instance, 32 ÷ 4 = 8 is written in lengthy type as:

Terms Related to Long Division

Dividend = Divisor x Quotient

This equation can be utilized to test whether or not we’ve carried out division appropriately or not.

For instance, within the above instance:

Dividend = 4 × 8 = 32.

Therefore, the division is appropriate.

A. Lengthy Division by One-Digit Divisor

1. Divide 27 by 9

Resolution:

Allow us to divide.

Step I: Write 27 contained in the bracket and 9 on the left facet of the bracket.

Step II: Begin division from left to proper, that’s, divide 2 by 9. Since, we can not divide 2 by 9 so, we are going to divide 27 by 9.

Step III: Recall the desk of 9.

9 × 3 = 27

Now, write 3 within the quotient and subtract 27 from 27. The result’s 0.

Thus, 27 ÷ 9 = 3

3rd Grade Long Division

2. Divide 92 by 4

Resolution:

Allow us to divide.

Step I: Write 92 contained in the bracket and 4
on the left facet of the bracket.

Step II: Begin division from left to proper,
that’s, divide 9 tens by 4.

4 × 2 = 8

4 × 3 = 12

12 tens is larger than 9 tens, so we take 4
× 2 = 8 tens.

Step III: Write 2 within the quotient.

Step IV: Subtract 8 from 9 and get 1 as
the rest.

Step V: Convey down 2 from ones place and
write it to the precise of 1.

12 is the brand new dividend.

Step VI: Write 3 within the quotient and
subtract 12 from 12. The result’s 0.

Thus, 92÷4 = 23

3rd Grade Long Division Math

3. Divide 36 by 3.

Long Division

× 1 = 3

Write 1 as a quotient 

write 3 underneath 3 and subtract

Long Division

Convey down 6 ones.

Now divide 6 by 3

× 2 = 6

Write 2 as a quotient and

write 6 underneath the brand new dividend and subtract

Now, 36 divided by 3 is 12.

4. Divide 30 by 5.

Long Division

Learn the desk of 5

We discover 5 × 6 = 30

Now we all know 5 is divisor 6 is

quotient and  30 is dividend. 

Notes:

I. Divide the Tens.

II. Then, divide the Ones.

B. Lengthy Division of 3-Digit Quantity by One-Digit Quantity:


1. Divide 324 by 2.

First Divide the A whole bunch

Long Division - Dividing Hundreds

Dividing A whole bunch

Divide 6 H by 2 = 3H

write 3 instead of quotient and 6 underneath 6 and

subtract 6 – 6=0 

Then, Divide the Tens.

Long Division - Dividing Tens

Dividing Tens

Now, carry down 4 T.

Divide 4 T by 2 = 2T

write 2 in tens place of the quotient and 4 underneath 4

then subtract 4 – 4 = 0

Lastly, Divide the Ones.

Long Division - Dividing Ones

Dividing Ones

Convey down 8 Ones.

Divide 8 ones by 2 = 4 ones

write 4 within the ones place of the quotient.

write 8 underneath 8 and subtract

8 – 8 = 0


D. Lengthy Division of 4-Digits Quantity by 1-Digit Quantity:

To divide 4-Digit numbers comply with these steps –

(i) Divide the 1000’s.

(ii) Divide the A whole bunch.

(iii) Divide the Tens.

(iv) Divide the Ones.

1. Divide 3693 by 3.

Long Division 4-Digit by 1-Digit Numbers

Step I: Dividing 1000’s

Divide 3 Th by 3 = 1Th

write 1 instead of quotient and three underneath 3 and

subtract 3 – 3 =0 

Step II: Dividing A whole bunch

Convey down 6 H.

Divide 6 H by 3 = 2H

write 2 instead of quotient and 6 underneath 6 and

subtract 6 – 6=0 

Step III: Dividing Tens

Now, carry down 9 T.

Divide 9 T by 3 = 3T

write 3 in tens place of the quotient and 9 underneath 9

then subtract 9 – 9 = 0

Step IV: Dividing Ones

Convey down 3 Ones.

Divide 3 ones by 3 = 1 ones

write 1 within the ones place of the quotient.

write 3 underneath 3 and subtract

3 – 3 = 0

2. Divide 6428 by 2.

Long Division 4-Digit by 1-Digit Numbers

Step I: Dividing 1000’s

Divide 6 Th by 2 = 3Th

write 3 instead of quotient and 6 underneath 6 and

subtract 6 – 6 =0 

Step II: Dividing A whole bunch

Convey down 4 H.

Divide 4 H by 2 = 2H

write 2 instead of quotient and 4 underneath 4 and

subtract 4 – 4=0 

Step III: Dividing Tens

Now, carry down 2 T.

Divide 2 T by 2 = 1T

write 1 in tens place of the quotient and a pair of underneath 2

then subtract 2 – 2 = 0

Step IV: Dividing Ones

Convey down 8 Ones.

Divide 8 ones by 2 = 4 ones

write 4 within the ones place of the quotient.

write 8 underneath 8 and subtract

8 – 8 = 0

Lengthy Division with The rest:

1. Divide 49 by 4.

Long Division - Division with Remainder

T: 4 ÷ 4 = 1.

Quotient = 1

O: 9 ÷ 4= ?

4 × 2 = 8 (nearest quantity)

9 – 8 = 1

So, Quotient = 2

   The rest = 1

Divisor – 4, Quotient – 12, The rest – 1.

2. Discover the quotient and the rest of 649 ÷ 9.

Resolution:

Step I: We begin dividing the a whole lot first. Since 6 a whole lot can’t be divided into 9 teams of a whole lot, the quotient at a whole lot column is zero.

Step II: 6 A whole bunch are actually became 60 tens and added to 4 tens, making 64 tens.

Step III: 64 tens give 9 teams of seven tens every and 1 ten is left over.

Step IV: 1 ten give 10 ones, 10 ones + 9 ones = 19 ones

Step V: 19 ones will be put into 2 teams of 9 and 1 one is left over.

Long Division

q = 72; r = 1

3. Divide 697 by 3.

Long Division - Division with Remainder

H: 6 ÷ 3 = 2.

T: 9 ÷ 3 = 3.

O: 7 ÷ 3 = ?

     3 × 2 = 6 (nearest quantity)

     7 – 6 = 1

So, in O Quotient = 2

         The rest = 1

Divisor – 3, Quotient – 232, The rest 1.

4. Divide 8643 by 2.

Long Division - Division with Remainder

Th: 8 ÷ 2 = 4

H: 6 ÷ 2 = 3

T: 4 ÷ 2 = 2

O: 3 ÷ 2 = ?

     2 × 1 = 2

     3 – 2 = 1

So. in O Quotient = 2

         The rest = 1

Divisor – 2, Quotient – 4321, The rest 1.

5. Divide 6609 by 6.

Long Division - Division with Remainder

Th: 6 ÷ 6 = 1

H: 6 ÷ 6 = 1

T: 0 ÷ 6 = 0

O: 9 ÷ 6 = ?

     6 × 1 = 6

     9 – 6 = 3

So, in Quotient = 1

      The rest = 3

Divisor – 6, Quotient – 1101, The rest 3.

E. Lengthy Division with Regrouping: 

1. Divide 96 by 4.

Long Division - Division with Regrouping

Step I: Dividing Tens

Divide 9 ÷ 4 = ?

4 × 2 = 8           8 < 9

4 × 3 = 12       12 > 9

we use 4 × 2 = 8.

write 2 in tens place of the quotient and eight beneath 9 then subtract 9 – 8 = 1

Long Division - Division with Regrouping

Step II: Dividing Ones

Convey down 6 Ones,

we’ve 16 ones 1 ten+ 6 ones. Divide 16 ones ÷ 4

4 × 4 = 16

write 4 in ones place of the quotient and 16 beneath 16

Now, 16 – 16 = 0

2. Divide 736 by 3.

Long Division - Division with Regrouping

H: 7 ÷ 3 = ?.   So, 3 × 2 =6

Q: 2;   R: 7 – 6 = 1 or 1 a whole lot

Regroup – 1 a whole lot and three tens = 13 tens

T: 13 + 3 = ?. So, 3 × 4 = 12

Q: 4;    R: 13 – 12 = 1 or 1 tens

Regroup – 1 tens and 5 ones = 15 ones

O: 16 ÷ 3 = ?.   So, 3 × 5 = 15

Q: 5;   R: 16 – 15 = 1

The rest – 1

Right here 3 is divisor, 736 is dividend, 245 is quotient and 1 is the rest.

3. Divide 3373 by 4.

Long Division - Division with Regrouping

Th: 3 < 4 so 3 + 4 is just not potential.

Regroup – 3 1000’s and three a whole lot = 33 a whole lot

H:33 ÷ 4 = ?

Q: 8;      R: 33 – 32 = 1 The rest – 1 a whole lot

Regroup – 1 a whole lot and seven tens = 17 tens

T: 17 ÷ 4 = 4

Q: 4     R: 17 – 16 = 1    The rest – 1 tens

Regroup – 1 tens and three ones = 13 ones

O:13 ÷ 4 = 3

Q: 3     R: 13 – 12 = 1    The rest – 1

Right here 4 is divisor, 3373 is dividend, 845 is quotient and 1 is the rest. 

Preserve in Thoughts

  • First, divide the 1000’s.
  • Then, divide the A whole bunch. Then, divide the Tens.
  • Lastly, divide the Ones.

Lengthy Division by Two-Digit Divisors

1. Divide 2698 by 21.

Resolution:

Recall the method of lengthy division.

Step I: 2 1000’s can’t be divided into 21 teams of thousand. So, 0 is positioned as quotient within the 1000’s column.

Step II: 2 1000’s give 20 a whole lot.

20 a whole lot + 6 a whole lot give 26 a whole lot. 26 a whole lot make 1 group of 21 a whole lot. 5 a whole lot are left.

Step III: 5 a whole lot give 50 tens.

Long Division by Two-Digit Divisors

q = 128; r = 10

So, 50 tens + 9 tens = 59 tens

59 tens are to be divided into 21 teams of tens

59 tens ÷ 21 makes 2 teams with 17 tens left.

2 is positioned within the quotient within the tens column.

Step IV: 17 tens = 170 ones

170 ones + 8 ones = 178 ones

178 ones ÷ 21 makes 8 teams with 10 ones left.

Thus, in division of two,698 by 21, we get 128 as quotient and 10 as the rest.

Phrase Issues on Lengthy Division:

To resolve any phrase drawback, we have to learn
every phrase rigorously and choose numbers rigorously from the query to unravel it.

1. If 60 cookies to be put in 5 packets, how
many cookies might be packed in a single packet?

Resolution:

Variety of cookies = 60 cookies

Equally distributed in 5 packets

Variety of cookies in a single packet = 60 ÷ 5

Word Problem on Long Division Math

Thus, 12 cookies might be packed in a single packet.

2. A bottle of coke prices $ 8. What number of bottles of coke will be purchased for $ 96?

Resolution:

Whole price of bottles bought = $ 96

Price of 1 bottle                   = $   8

Variety of bottles bought   = 96 ÷ 8

                                            = 12

Therefore, 12 bottles will be purchased for $ 96.

Word Problems on Long Division

Questions and Solutions on Lengthy Division:

A. Lengthy Division of two Digit Quantity by 1 Digit Quantity:

I. Divide and discover the quotient:

(i) 85 ÷ 5 = _____

(ii) 54 ÷ 3 = _____

(iii) 63 ÷ 7 = _____

(iv) 60 ÷ 3 = _____

(v) 42 ÷6 = _____

(vi) 32 ÷ 8 = _____

(vii) 88 ÷ 8 = _____

(viii) 69 ÷ 3 = _____

(ix) 48 ÷ 3 = _____

(x) 42 ÷ 6 = _____

(xi) 68 ÷ 4 = _____

(xii) 96 ÷ 6 = _____

(xiii) 86 ÷ 2 = _____

(xiv) 36 ÷ 9 = _____

(xv) 77 ÷ 7 = _____

(xvi) 63 ÷ 3 = _____

(xvii) 22 ÷ 2 = _____

(xviii) 72 ÷ 9 = _____

(xix) 33 ÷ 3 = _____

(xx) 68 ÷ 2 = _____

Reply:

I. (i) 17

(ii) 18

(iii) 9

(iv) 20

(v) 7

(vi) 4

(vii) 11

(viii) 23

(ix) 16

(x) 7

(xi) 17

(xii) 16

(xiii) 43

(xiv) 4

(xv) 11

(xvi) 21

(xvii) 11

(xviii) 8

(xix) 11

(xx) 34

II. Discover the quotient:

(i)

3 |(overline{2 7})

(ii)

 7 |(overline{4 2})

(iii)

8 |(overline{6 4})

(iv)

 2 |(overline{1 8})

(v)

3 |(overline{2 1})

(vi)

 9 |(overline{8 1})

(vii)

5 |(overline{3 5})

(viii)

 6 |(overline{4 8})

(ix)

4 |(overline{3 6})

(x)

 7 |(overline{6 3})

(xi)

3 |(overline{9 3})

(xii)

 2 |(overline{8 2})

(xiii)

2 |(overline{2 6})

(xiv)

 2 |(overline{1 0})

(xv)

3 |(overline{3 0})

(xvi)

 7 |(overline{4 9})

(xvii)

2 |(overline{6 4})

(xviii)

 8 |(overline{7 2})

(xix)

7 |(overline{7 7})

(xx)

 8 |(overline{4 8})

Reply:

II. (i) 9

(ii) 6

(iii) 8

(iv) 9

(v) 7

(vi) 9

(vii) 7

(viii) 8

(ix) 9

(x) 9 

(xi) 31

(xii) 41

(xiii) 13

(xiv) 5

(xv) 10

(xvi) 7

(xvii) 32

(xviii) 9

(xix) 11

(xx) 6

B. Lengthy Division of 3-Digit Quantity by 1-Digit Quantity:

III. Divide and discover the quotients –

(i) 246 ÷ 2 = _____

(ii) 666 ÷ 6 = _____

(iii) 339 ÷ 3 = _____

(iv) 936 ÷ 3 = _____

(v) 648 ÷ 2 = _____

(vi) 222 ÷ 2 = _____

(vii) 242 ÷ 2 = _____

(viii) 777 ÷ 7 = _____

(ix) 480 ÷ 2 = _____

(x) 420 ÷ 2 = _____

(xi) 848 ÷ 2 = _____

(xii) 399 ÷ 3 = _____

(xiii) 448 ÷ 4 = _____

(xiv) 224 ÷ 2 = _____

(xv) 960 ÷ 3 = _____

(xvi) 848 ÷ 4 = _____

(xvii) 402 ÷ 2 = _____

(xviii) 636 ÷ 3 = _____

(xix) 939 ÷ 3 = _____

(xx) 444 ÷ 4 = _____

Reply:

III. (i) 123

(ii) 111

(iii) 113

(iv) 312

(v) 324

(vi) 111

(vii) 121

(viii) 111

(ix) 240

(x) 210

(xi) 424

(xii) 133

(xiii) 112

(xiv) 112

(xv) 320

(xvi) 212

(xvii) 201

(xviii) 212

(xix) 313

(xx) 111

IV. Discover the quotient:

(i)

4 |(overline{804})

(ii)

 3 |(overline{363})

(iii)

4 |(overline{408})

(iv)

 2 |(overline{826})

(v)

2 |(overline{604})

(vi)

 3 |(overline{336})

(vii)

8 |(overline{888})

(viii)

 4 |(overline{484})

(ix)

3 |(overline{993})

(x)

 4 |(overline{884})

(xi)

5 |(overline{555})

(xii)

 2 |(overline{484})

(xiii)

3 |(overline{366})

(xiv)

 2 |(overline{442})

(xv)

2 |(overline{882})

(xvi)

 3 |(overline{663})

(xvii)

2 |(overline{866})

(xviii)

 9 |(overline{999})

(xix)

2 |(overline{224})

(xx)

 3 |(overline{333})

Reply:

IV. (i) 201

(ii) 121

(iii) 102

(iv) 413

(v) 302

(vi) 112

(vii) 111

(viii) 121

(ix) 331

(x) 221

(xi) 111

(xii) 242

(xiii) 122

(xiv) 221

(xv) 441

(xvi) 221

(xvii) 433

(xviii) 111

(xix) 112

(xx) 111

C. Lengthy Division of 4-Digit Quantity by 1-Digit Quantity:

V. Divide and discover the quotients –

(i) 7777 ÷ 7 = _____

(ii) 4884 ÷ 2 = _____

(iii) 6699 ÷ 3 = _____ 

(iv) 9999 ÷ 3 = _____

(v) 6666 ÷ 2 = _____

(vi) 9969 ÷ 3 = _____

(vii) 4002 ÷ 2 = _____

(viii) 2468 ÷ 2 = _____

(ix) 4884 ÷ 4 = _____

(x) 6844 ÷ 2 = _____

(xi) 2244 ÷ 2 = _____

(xii) 6969 ÷ 3 = _____

(xiii) 8844 ÷ 2 = _____

(xiv) 8084 ÷ 4 = _____

(xv) 6060 ÷ 3 = _____

(xvi) 4444 ÷ 2 = _____

(xvii) 6448 ÷ 2 = _____

(xviii) 9060 ÷ 3 = _____

(xix) 4488 ÷ = _____

(xx) 6666 ÷ 3 = _____

(xxi) 8888 ÷ 4 = _____

(xxii) 8888 ÷ 2  = _____ 

(xxiii) 9966 ÷ 3 = _____

(xxiv) 4488 ÷ 4 = _____

Reply:

V. (i) 1111

(ii) 2442

(iii) 2233

(iv) 3333

(v) 3333

(vi) 3323

(vii) 2001

(viii) 1234

(ix) 1221

(x) 3422

(xi) 1122

(xii) 2323

(xiii) 4422

(xiv) 2021

(xv) 2020

(xvi) 2222

(xvii) 3224

(xviii) 3020

(xix) 2244

(xx) 2222

(xxi) 2222

(xxii) 4444

(xxiii) 3322

(xxiv) 1122

VI. Discover the Quotient:

(i)

2 |(overline{2424})

(ii)

3 |(overline{3939})

(iii)

4 |(overline{8484})

(iv)

2 |(overline{4242})

(v)

5 |(overline{5505})

(vi)

8 |(overline{4848})

(vii)

7 |(overline{4956})

(viii)

9 |(overline{8136})

(ix)

2 |(overline{2826})

(x)

3 |(overline{3639})

(xi)

2 |(overline{8448})

(xii)

3 |(overline{3036})

(xiii)

2 |(overline{8468})

(xiv)

4 |(overline{8448})

(xv)

3 |(overline{3363})

(xvi)

6 |(overline{6636})

Reply:

VI. (i) 1212

(ii) 1313

(iii) 2121

(iv) 2121

(v) 1101

(vi) 606

(vii) 708

(viii) 904

(ix) 1413

(x) 1213

(xi) 4224

(xii) 1012

(xiii) 4234

(xiv) 2112

(xv) 1121

(xvi) 1106

D. Lengthy Division with The rest:

VII. Divide and discover the quotients and remainders –

(i) 96 ÷ 3 = _____

(ii) 89 ÷ 4 = _____

(iii) 45 ÷ 4 = _____

(iv) 65 ÷ 2 = _____

(v) 37 ÷ 3 = _____

(vi) 63 ÷ 2 = _____

(vii) 27 ÷ 4 = _____

(viii) 95 ÷ 3 = _____

(ix) 849 ÷ 4 = _____

(x) 807 ÷ 4 = _____

(xi) 847 ÷ 4 = _____

(xii) 638 ÷ 3 = _____

(xiii) 4849 ÷ 2 = _____

(xiv) 2427 ÷ 2 = _____

(xv) 9634 ÷ 3 = _____

(xvi) 4846 ÷ 4 = _____

(xvii) 8485 ÷ 4 = _____

(xviii) 6937 ÷ 3 = _____

(xix) 5556 ÷ 5 = _____

(xx) 9695 ÷ 3 = _____

Reply:

VII. (i) Quotient: 32; The rest: 0

(ii) Quotient: 22; The rest: 1

(iii) Quotient: 11; The rest: 1

(iv) Quotient: 32; The rest: 1

(v) Quotient: 12; The rest: 1

(vi) Quotient: 31; The rest: 1

(vii) Quotient: 6; The rest: 3

(viii) Quotient: 31; The rest: 2

(ix) Quotient: 212; The rest: 1

(x) Quotient: 201; The rest: 3

(xi) Quotient: 211; The rest: 3

(xii) Quotient: 212; The rest: 2

(xiii) Quotient: 2424; The rest: 1

(xiv) Quotient: 1213; The rest: 1

(xv) Quotient: 3211; The rest: 1

(xvi) Quotient: 1211; The rest: 2

(xvii) Quotient: 2121; The rest: 1

(xviii) Quotient: 2312; The rest: 1

(xix) Quotient: 1111; The rest: 1

(xx) Quotient: 3231; The rest: 2

VIII. Discover the Quotients and remainders:

(i)

2 |(overline{25})

(ii)

4 |(overline{87})

(iii)

6 |(overline{669})

(iv)

2 |(overline{889})

(v)

3 |(overline{965})

(vi)

3 |(overline{397})

(vii)

4 |(overline{849})

(viii)

5 |(overline{556})

(ix)

2 |(overline{245})

(x)

3 |(overline{668})

(xi)

2 |(overline{667})

(xii)

2 |(overline{887})

(xiii)

3 |(overline{6968})

(xiv)

2 |(overline{4829})

(xv)

4 |(overline{4889})

(xvi)

2 |(overline{8267})

Reply:

VIII. (i) Quotient: 12; The rest: 1

(ii) Quotient: 21; The rest: 3

(iii) Quotient: 111; The rest: 3

(iv) Quotient: 444; The rest: 1

(v) Quotient: 321; The rest: 2

(vi) Quotient: 132; The rest: 1

(vii) Quotient: 212; The rest: 1

(viii) Quotient: 111; The rest: 1

(ix) Quotient: 122; The rest: 1

(x) Quotient: 222; The rest: 2

(xi) Quotient: 333; The rest: 1

(xii) Quotient: 443; The rest: 1

(xiii) Quotient: 2322; The rest: 2

(xiv) Quotient: 4214; The rest: 1

(xv) Quotient: 1222; The rest: 1

(xvi) Quotient: 4133; The rest: 1

D. Lengthy Division with Regrouping:

IX. Discover the quotients and remainders of those sums –

(i) 84 ÷ 7 = _____

(ii) 96 ÷ 5 = _____

(iii) 99 ÷ 8 = _____

(iv) 81 ÷ 3 = _____

(v) 76 ÷ 4 = _____

(vi) 53 ÷ 2 = _____

(vii) 95 ÷ 4 = _____

(viii) 67 ÷ 5 = _____

(ix) 711 ÷ 9 = _____

(x) 207 ÷ 3 = _____

(xi) 776 ÷ 8 = _____

(xii) 441 ÷ 7 = _____

(xiii) 920 ÷ 8 = _____

(xiv) 607 ÷ 5 = _____

(xv) 534 ÷ 5 = _____

(xvi) 7284 ÷ 3 = _____

(xvii) 2389 ÷ 4 = _____

(xviii) 6700 ÷ 9 = _____

(xix) 8489 ÷ 7 = _____

(xx) 9900 ÷ 8 = _____

Reply:

IX. (i) Quotient: 12; The rest: 0

(ii) Quotient: 19; The rest: 1

(iii) Quotient: 12; The rest: 3

(iv) Quotient: 27; The rest: 0

(v) Quotient: 19; The rest: 0

(vi) Quotient: 26; The rest: 1

(vii) Quotient: 23; The rest: 3

(viii) Quotient: 13; The rest: 2

(ix) Quotient: 79; The rest: 0

(x) Quotient: 69; The rest: 0

(xi) Quotient: 97; The rest: 0

(xii) Quotient: 63; The rest: 0

(xiii) Quotient: 115; The rest: 0

(xiv) Quotient: 121; The rest: 2

(xv) Quotient: 106; The rest: 4

(xvi) Quotient: 2428; The rest: 0

(xvii) Quotient: 597; The rest: 1

(xviii) Quotient: 744; The rest: 4

(xix) Quotient: 1212; The rest: 5

(xx) Quotient: 1237; The rest: 4

X. Discover the Quotients and remainders:

(i)

3 |(overline{57})

(ii)

4 |(overline{62})

(iii)

5 |(overline{77})

(iv)

4 |(overline{68})

(v)

7 |(overline{85})

(vi)

2 |(overline{314})

(vii)

4 |(overline{973})

(viii)

5 |(overline{630})

(ix)

6 |(overline{746})

(x)

5 |(overline{6795})

(xi)

7 |(overline{9395})

(xii)

8 |(overline{9985})

Reply:

X. (i) Quotient: 19; The rest: 0

(ii) Quotient: 15; The rest: 2

(iii) Quotient: 15; The rest: 2

(iv) Quotient: 17; The rest: 0

(v) Quotient: 12; The rest: 1

(vi) Quotient: 157; The rest: 0

(vii) Quotient: 243; The rest: 1

(viii) Quotient: 126; The rest: 0

(ix) Quotient: 124; The rest: 2

(x) Quotient: 1359; The rest: 0

(xi) Quotient: 1342; The rest: 1

(xii) Quotient: 1248; The rest: 1

XI. Remedy the given phrase issues on lengthy division.

1. Shelly has 75 pencils. She shares them
between her 5 mates. What number of pencils will every of her pal get?

2. In school III, there are complete 70
kids. If there are 5 sections at school III, what number of kids are there in
every part?

3. There are 68 birds in a zoo in 4 cages.
What number of birds are there in every cage?

4. Jack, the clown has 99 balloons which he
must share between 9 kids on the truthful. What number of balloons does every
little one get?

5. Nancy has 96 items of sweet. She has 8
baggage. She desires to place the identical quantity of candies in every bag. What number of will
she put in every bag?

6. Mike organised 24 chairs in 4 rows for a
get together. What number of chairs are there in every row?

7. You’ve gotten 60 gum balls that it’s essential to
share equally in 5 containers. What number of gum balls might be in every container?

8. There are 96 books on the shelf. If the
books are to be shared equally amongst 4 desk teams within the class, what number of
books might be there on every desk?

9. Amit walks 4 km. in a single hour. How lengthy will he take to cowl 48 kilometers?

10. 3 toy-guns price $ 369. What’s the price of one toy-gun?

11. The lease of a home for six months is $ 6666. What’s the lease for one month?

12. 68 gamers have been divided equally into 6 groups. What number of gamers have been there in every crew and what number of have been left with none crew?

13. 609 flowers have been divided to make 6 garlands. What number of flowers have been utilized in every garland and what number of flowers are left now?

14. 441 sheets have been divided equally to make 2 books. What number of sheets have been used for every ebook and what number of sheets have been left?

15. 4 pens price $ 56. What’s the price of one pen?

16. 750 college students have been divided into 5 equal homes. What number of college students are there in every home?

17. A housing society, consisting of 4 towers, has 1016 sparking lights for adornment in Diwali. What number of lights might be utilized in every tower?

18. Rohit has 79 marbles with him. He teams them into units of 5 every. What number of units of marbles did he make and what number of marbles are left?

19. A fruit-seller has 364 oranges. He places them equally into 5 containers. What number of oranges does he put into every field and what number of are left?

20. 9 cans of milk will be carried in a single van. If there are 1360 cans, what number of vans are required and what number of cans might be left behind?

21. Ten vehicles carry 9000 crates of coke. What number of crates does every truck carry?

Reply:

XI. 1. 15

2. 14

3. 17

4. 11

5. 12

6. 6

7. 12

8. 24

9. 12 

10. $123

11. $ 1111

12. 11; 2

13. 101; 3

14. 220; 1

15. $ 14 

16. 150

17. 254

18. 15; 4

19. 72; 4

20. 151; 1

21. 900

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