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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.

'Formal Long Division (2)' 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 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.

 

Lond division

 

First we divide 19 ÷ 15 = 1 rem 4.

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

 

Long division

 

 

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.)

 

Long division

 

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.)

 

Long division

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.

 

Long division with a decimal remainder

 

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.

 

Long division with a decimal remainder

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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