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Formal Long Division (1)

In this worksheet, students must divide numbers up to 4 digits by a two-digit number using the formal written method of long division. There may be remainders.

'Formal Long Division (1)' worksheet

Key stage:  KS 2

Curriculum topic:  Number: Addition, Subtraction, Multiplication and Division

Curriculum subtopic:  Divide to Four Digits (Long Division)

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet we will divide numbers with up to 4 digits by 2-digit numbers using long division.

There will be remainders which can be left as simple remainders.

 

Long Division is similar to Short Division, but more of the working is shown on paper.

 

Let's look at   1989 ÷ 15

 

Short Division

First we remind ourselves of how this would be worked out using Short Division.

We set out the calculation like this and then start dividing.

 

 

First we divide 19 ÷ 15 = 1 rem 4.

(Remember that 1 × 15 = 15 and so the remainder is 19 - 15 = 4.)

The 4 goes next to the 8 to form 48.

 

Then we divide 48 ÷ 15 = 3 rem 3.

(Remember that 3 × 15 = 45 and so the remainder is 48 - 45 = 3.)

The 3 goes next to the 9 to form 39.

 

Lastly we divide 39 ÷ 15 = 2 rem 9.

(Remember that 2 × 15 = 30 and so the remainder is 39 - 30 = 9.)

 

We have shown that    1989 ÷ 15 = 132 r9

 

Long Division

Now we look at the same division worked out using Long Division.

We start by setting out the calculation in the same way, like this, and then start dividing.

 

 

First we divide 19 ÷ 15 = 1 rem 4.

(Remember that 1 × 15 = 15 and so the remainder is 19 - 15 = 4.)

 

In Long Division we actually set out the subtraction under the 19.

 

In Short Division we put the 4 next to the 8 form 48.

In Long Division, we bring the 8 down next to the 4.

Then we divide 48 ÷ 15 = 3 rem 3.

(Remember that 3 × 15 = 45 and so the remainder is 48 - 45 = 3.)

In Long Division, we bring the 9 down next to the 3.

Lastly we divide 39 ÷ 15 = 2 rem 9.

(Remember that 2 × 15 = 30 and so the remainder is 39 - 30 = 9.)

The final remainder is 9.

Compare this to short division.

 

We have shown that    1989 ÷ 15 = 132 r9

 

Hint

With Long and Short Division, it helps to know the multiples of the number we are dividing by.

Here it helped to know the multiples of 15 are 15, 30, 45, 60, 75, 90 etc.

When dividing by 14, it helps to know the multiples of 14 are 14, 28, 42, 56, 70, 84 etc.

On paper, use long division to work out the answer to:

 

1860 ÷ 15

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

2604 ÷ 12

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

3904 ÷ 12

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

1615 ÷ 13

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

3234 ÷ 14

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

3608 ÷ 15

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

4270 ÷ 14

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

3396 ÷ 16

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

6594 ÷ 21

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

On paper, use long division to work out the answer to:

 

8575 ÷ 25

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

  • Question 1

On paper, use long division to work out the answer to:

 

1860 ÷ 15

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
124
EDDIE SAYS
Divide 18 ÷ 15 = 1 rem 3. (Remember that 1 × 15 = 15 and so the remainder is 18 - 15 = 3.) In Long Division we actually set out the subtraction under the 18. In Long Division, we bring the 6 down next to the 3. Then we divide 36 ÷ 15 = 2 rem 6. (Remember that 2 × 15 = 30 and so the remainder is 36 - 30 = 6.) In Long Division, we bring the 0 down next to the 6. Lastly we divide 60 ÷ 15 = 4. (Remember that 4 × 15 = 60 and so 60 - 60 = 0.) 1860 ÷ 15 = 124
  • Question 2

On paper, use long division to work out the answer to:

 

2604 ÷ 12

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
217
EDDIE SAYS
First we divide 26 ÷ 12 = 2 rem 2. (Remember that 2 × 12 = 24 and so the remainder is 26 - 24 = 2.) In Long Division we actually set out the subtraction under the 26. In Long Division, we bring the 0 down next to the 2. Then we divide 20 ÷ 12 = 1 rem 8. (Remember that 1 × 12 = 12 and so the remainder is 20 - 12 = 8.) In Long Division, we bring the 4 down next to the 8. Lastly we divide 84 ÷ 12 = 7. (Remember that 7 × 12 = 84 and so 84 - 84 = 0.) 2604 ÷ 12 = 217
  • Question 3

On paper, use long division to work out the answer to:

 

3904 ÷ 12

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
325 r4
EDDIE SAYS
First we divide 39 ÷ 12 = 3 rem 3. (Remember that 3 × 12 = 36 and so the remainder is 39 - 36 = 3.) In Long Division we actually set out the subtraction under the 39. In Long Division, we bring the 0 down next to the 3. Then we divide 30 ÷ 12 = 2 rem 6. (Remember that 2 × 12 = 24 and so the remainder is 30 - 24 = 6.) In Long Division, we bring the 4 down next to the 6. Lastly we divide 64 ÷ 12 = 5. (Remember that 5 × 12 = 60 and so 64 - 60 = 4.) 3904 ÷ 12 = 325 r4
  • Question 4

On paper, use long division to work out the answer to:

 

1615 ÷ 13

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
124 r3
EDDIE SAYS
First we divide 16 ÷ 13 = 1 rem 3. (Remember that 1 × 13 = 13 and so the remainder is 16 - 13 = 3.) In Long Division we actually set out the subtraction under the 16. In Long Division, we bring the 1 down next to the 3. Then we divide 31 ÷ 13 = 2 rem 5. (Remember that 2 × 13 = 26 and so the remainder is 31 - 26 = 5.) In Long Division, we bring the 5 down next to the 5. Lastly we divide 55 ÷ 13 = 4 rem 3. (Remember that 4 × 13 = 52 and so 55 - 52 = 3.) 1615 ÷ 13 = 124 r3
  • Question 5

On paper, use long division to work out the answer to:

 

3234 ÷ 14

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
231
EDDIE SAYS
First we divide 32 ÷ 14 = 2 rem 4. (Remember that 2 × 14 = 28 and so the remainder is 32 - 28 = 4.) In Long Division we actually set out the subtraction under the 32. In Long Division, we bring the 3 down next to the 4. Then we divide 43 ÷ 14 = 3 rem 1. (Remember that 3 × 14 = 42 and so the remainder is 43 - 42 = 1.) In Long Division, we bring the 4 down next to the 1. Lastly we divide 14 ÷ 14 = 1. (Remember that 1 × 14 = 14 and so 14 - 14 = 0.) 3234 ÷ 14 = 231
  • Question 6

On paper, use long division to work out the answer to:

 

3608 ÷ 15

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
240 r8
EDDIE SAYS
First we divide 36 ÷ 15 = 2 rem 6. (Remember that 2 × 15 = 30 and so the remainder is 36 - 30 = 6.) In Long Division we actually set out the subtraction under the 36. In Long Division, we bring the 0 down next to the 6. Then we divide 60 ÷ 15 = 4. (Remember that 4 × 15 = 60 and so the remainder is 60 - 60 = 0.) In Long Division, we bring the 8 down next to the 0. Lastly we divide 8 ÷ 15 = 0 rem 8. (Remember that 0 × 15 = 0 and so 08 - 0 = 8.) 3608 ÷ 15 = 240 r8
  • Question 7

On paper, use long division to work out the answer to:

 

4270 ÷ 14

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
305
EDDIE SAYS
First we divide 42 ÷ 14 = 3. (Remember that 3 × 14 = 42 and so the remainder is 42 - 42 = 0.) In Long Division we actually set out the subtraction under the 42. In Long Division, we bring the 7 down next to the 0. Then we divide 07 ÷ 14 = 0 rem 7. (Remember that 0 × 14 = 0 and so the remainder is 07 - 0 = 7.) In Long Division, we bring the 0 down next to the 7. Lastly we divide 70 ÷ 14 = 5. (Remember that 5 × 14 = 70 and so 70 - 70 = 0.) 4270 ÷ 14 = 305
  • Question 8

On paper, use long division to work out the answer to:

 

3396 ÷ 16

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
212 r4
EDDIE SAYS
First we divide 33 ÷ 16 = 2 rem 1. (Remember that 2 × 16 = 32 and so the remainder is 33 - 32 = 1.) In Long Division we actually set out the subtraction under the 33. In Long Division, we bring the 9 down next to the 1. Then we divide 19 ÷ 16 = 1 rem 3. (Remember that 1 × 16 = 16 and so the remainder is 19 - 16 = 3.) In Long Division, we bring the 6 down next to the 3. Lastly we divide 36 ÷ 16 = 2 rem 4. (Remember that 2 × 16 = 32 and so 36 - 32 = 4.) 3396 ÷ 16 = 212 r4
  • Question 9

On paper, use long division to work out the answer to:

 

6594 ÷ 21

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
314
EDDIE SAYS
First we divide 65 ÷ 21 = 3 rem 2. (Remember that 3 × 21 = 63 and so the remainder is 65 - 63 = 2.) In Long Division we actually set out the subtraction under the 65. In Long Division, we bring the 9 down next to the 2. Then we divide 29 ÷ 21 = 1 rem 8. (Remember that 1 × 21 = 21 and so the remainder is 29 - 21 = 8.) In Long Division, we bring the 4 down next to the 8. Lastly we divide 84 ÷ 21 = 4. (Remember that 4 × 21 = 84 and so 84 - 84 = 0.) 6594 ÷ 21 = 314
  • Question 10

On paper, use long division to work out the answer to:

 

8575 ÷ 25

 

(If there is a remainder, leave a space for the remainder in your answer and write it like this: 123 r4)

CORRECT ANSWER
343
EDDIE SAYS
First we divide 85 ÷ 25 = 3 rem 10. (Remember that 3 × 25 = 75 and so the remainder is 85 - 75 = 10.) In Long Division we actually set out the subtraction under the 85. In Long Division, we bring the 7 down next to the 10. Then we divide 107 ÷ 25 = 4 rem 7. (Remember that 4 × 25 = 100 and so the remainder is 107 - 100 = 7.) In Long Division, we bring the 5 down next to the 7. Lastly we divide 75 ÷ 25 = 3. (Remember that 3 × 25 = 75 and so 75 - 75 = 0.) 8575 ÷ 25 = 343
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