# Formal Long Division (2)

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, which should be written as decimals.

Key stage:  KS 2

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

Curriculum subtopic:   Divide to Four Digits (Long Division)

Difficulty level:

### 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 should be written as decimals.

Let's look at   1986 ÷ 15

We start by setting out the calculation as usual, 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.)

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.)

Bring the 6 down next to the 3.

Now we divide 36 ÷ 15 = 2 rem 6.

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

The final remainder is 6, but we want to write this as a decimal.

We now change 1986 to 1986.000.

We're not sure how many zeros we will need, but it doesn't matter because

1986 = 1986.0 = 1986.00 = 1986.000 etc.

Bring the new 0 down next to the 6.

Now we can divide 60 ÷ 15 = 4 rem 0.

(Remember that 4 × 15 = 60 and so the remainder is 60 - 60 = 0.)

We must put a decimal point in the answer line above the decimal point of 1986.000.

We didn't in fact need the last two zeros, but remember that we didn't know how many we would need.

We have shown that 1986 ÷ 15 = 132.4

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

2658 ÷ 12

(Write any remainder as a decimal number, e.g. 343.2)

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

2313 ÷ 15

(Write any remainder as a decimal number, e.g. 343.2)

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

1995 ÷ 14

(Write any remainder as a decimal number, e.g. 343.2)

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

3627 ÷ 15

(Write any remainder as a decimal number, e.g. 343.2)

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

1491 ÷ 12

(Write any remainder as a decimal number, e.g. 343.2)

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

4230 ÷ 12

(Write any remainder as a decimal number, e.g. 343.2)

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

5016 ÷ 16

(Write any remainder as a decimal number, e.g. 343.2)

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

8535 ÷ 25

(Write any remainder as a decimal number, e.g. 343.2)

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

1796 ÷ 16

(Write any remainder as a decimal number, e.g. 343.2)

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

3436 ÷ 16

(Write any remainder as a decimal number, e.g. 343.2)

• Question 1

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

2658 ÷ 12

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
221.5
EDDIE SAYS
First we divide 26 ÷ 12 = 2 rem 2. (Remember that 2 × 12 = 25 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 5 down next to the 2. Then we divide 25 ÷ 12 = 2 rem 1. (Remember that 2 × 12 = 24 and so the remainder is 25 - 24 = 1.) In Long Division, we bring the 8 down next to the 1. Lastly we divide 18 ÷ 12 = 1 rem 6. (Remember that 1 × 12 = 12 and so 18 - 12 = 6.) Now we want to turn this into a decimal, so turn 2658 into 2658.0 Bring down the 0 next to the 6. Divide 60 ÷ 12 = 5, which is written after the decimal point. 2658.0 ÷ 12 = 221.5
• Question 2

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

2313 ÷ 15

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
154.2
EDDIE SAYS
First we divide 23 ÷ 15 = 1 rem 8. (Remember that 1 × 15 = 15 and so the remainder is 23 - 15 = 8.) In Long Division, we bring the 1 down next to the 8. Then we divide 81 ÷ 15 = 5 rem 6. (Remember that 2 × 12 = 24 and so the remainder is 25 - 24 = 1.) In Long Division, we bring the 8 down next to the 1. Lastly we divide 18 ÷ 12 = 1 rem 6. (Remember that 5 × 15 = 60 and so 63 - 60 = 3.) Now we want to turn this into a decimal, so turn 2313 into 2313.0 Bring down the 0 next to the 3. Divide 30 ÷ 15 = 2, which is written after the decimal point. 2313.0 ÷ 15 = 154.2
• Question 3

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

1995 ÷ 14

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
142.5
EDDIE SAYS
Use long division to divide 1995 ÷ 14, which is 142 r7. To turn the remainder into a decimal, add a .0 to the original problem: 1995.0 ÷ 14. Bring the 0 down next to the 7 and divide 70 ÷ 14 = 5. Write the 5 after the decimal point. (Remember 5 x 14 = 70, so 70 - 70 = 0.) 1995.0 ÷ 14 = 142.5
• Question 4

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

3627 ÷ 15

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
241.8
EDDIE SAYS
Use long division to divide 3627 ÷ 15, which is 241 r12. To turn the remainder into a decimal, add a .0 to the original problem: 3627.0 ÷ 15. Bring the 0 down next to the 12 and divide 120 ÷ 15 = 8. Write the 8 after the decimal point. (Remember 8 x 15 = 120, so 120 - 120 = 0.) 3627.0 ÷ 15 = 241.8
• Question 5

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

1491 ÷ 12

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
124.25
EDDIE SAYS
Use long division to divide 1491 ÷ 12, which is 241 r3. To turn the remainder into a decimal, add a .00 to the original problem: 1491.00 ÷ 12. Bring the 0 down next to the 3 and divide 30 ÷ 12 = 2 rem 6. (Remember 2 x 12 = 24, so 30 - 24 = 6). Bring the 0 down next to the 60 and divide 60 ÷ 12 = 5. (Remember 5 x 12 = 60, so 60 - 60 = 0). 1491.00 ÷ 12 = 124.25
• Question 6

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

4230 ÷ 12

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
352.5
EDDIE SAYS
Use long division to divide 4230 ÷ 12, which is 352 r6. To turn the remainder into a decimal, add a .0 to the original problem: 4230.0 ÷ 12. Bring the 0 down next to the 6 and divide 60 ÷ 12 = 5. (Remember 5 x 12 = 60, so 60 - 60 = 0). 4230.0 ÷ 12 = 352.5
• Question 7

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

5016 ÷ 16

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
313.5
EDDIE SAYS
Use long division to divide 5016 ÷ 16, which is 313 r8. To turn the remainder into a decimal, add a .0 to the original problem: 5016.0 ÷ 16. Bring the 0 down next to the 8 and divide 80 ÷ 16 = 5. (Remember 5 x 16 = 80, so 80 - 80 = 0). 5016.0 ÷ 16 = 313.5
• Question 8

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

8535 ÷ 25

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
341.4
EDDIE SAYS
Use long division to divide 8535 ÷ 25, which is 341 r10. To turn the remainder into a decimal, add a .0 to the original problem: 8535.0 ÷ 25. Bring the 0 down next to the 10 and divide 100 ÷ 25 = 4. (Remember 4 x 25 = 100, so 100 - 100 = 0). 8535.0 ÷ 25 = 341.4
• Question 9

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

1796 ÷ 16

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
112.25
EDDIE SAYS
Use long division to divide 1796 ÷ 16, which is 112 r4. To turn the remainder into a decimal, add a .00 to the original problem: 1796.00 ÷ 16. Bring the 0 down next to the 4 and divide 40 ÷ 16 = 2 rem 8. (Remember 2 x 16 = 32, so 40 - 32 = 8). Bring down the 0 next to the 8 and divide 80 ÷ 16 = 5. (Remember 5 X 16 = 80, so 80 - 80 = 0). 1796.00 ÷ 16 = 112.25
• Question 10

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

3436 ÷ 16

(Write any remainder as a decimal number, e.g. 343.2)

CORRECT ANSWER
214.75
EDDIE SAYS
Use long division to divide 3436 ÷ 16, which is 214 r12. To turn the remainder into a decimal, add a .00 to the original problem: 3436.00 ÷ 16. Bring the 0 down next to the 12 and divide 120 ÷ 16 = 7 rem 8. (Remember 7 x 16 = 112, so 120 - 112 = 8). Bring down the 0 next to the 8 and divide 80 ÷ 16 = 5. (Remember 5 X 16 = 80, so 80 - 80 = 0). 3436.00 ÷ 16 = 214.75
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