# Formal Long Division (3)

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 reduced fractions.

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 fractions.

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 fraction.

We are dividing by 15, so a remainder of 6 is actually the fraction 6/15.

 6 15

To reduce this fraction to its lowest terms, we look for the highest number that goes into 6 and 15.

This will be 3, because 2 × 3 = 6 and 5 × 3 = 15.

So we divide the top and the bottom numbers by the magic number 3, to get 2 and 5.

 6 = 2 15 5

We have shown that 1986 ÷ 15 =

 132 2 5

In this worksheet, this will be written as 132 2/5  with a space between the 132 and the 2/5.

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

1615 ÷ 13

(Write any remainder as a fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

3904 ÷ 12

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

3608 ÷ 15

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

3396 ÷ 16

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

5195 ÷ 11

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

4154 ÷ 12

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

9858 ÷ 12

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

3101 ÷ 14

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

4720 ÷ 15

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

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

5535 ÷ 25

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

• Question 1

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

1615 ÷ 13

(Write any remainder as a fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

124 3/13
EDDIE SAYS
Divide 16 ÷ 13 = 1 rem 3 and bring down the 1 Divide 31 ÷ 13 = 2 rem 5 and bring down the 5 Divide 55 ÷ 13 = 4 rem 3 Answer: 124 3/13 (the remainder 3 is the numerator and the divisor 13 is the denominator)
• Question 2

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

3904 ÷ 12

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

325 1/3
EDDIE SAYS
Divide 39 ÷ 12 = 3 rem 3 and bring down the 0 Divide 30 ÷ 12 = 2 rem 6 and bring down the 4 Divide 64 ÷ 12 = 5 rem 4 Answer: 325 4/12 reduces to 325 1/3
• Question 3

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

3608 ÷ 15

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

240 8/15
EDDIE SAYS
Divide 36 ÷ 15 = 2 rem 6 and bring down the 0 Divide 60 ÷ 15 = 4 rem 0 and bring down the 8 Divide 8 ÷ 15 = 0 rem 8 Answer: 240 8/15
• Question 4

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

3396 ÷ 16

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

212 1/4
EDDIE SAYS
Divide 33 ÷ 16 = 2 rem 1 and bring down the 9 Divide 19 ÷ 16 = 1 rem 3 and bring down the 6 Divide 36 ÷ 16 = 2 rem 4 Answer: 212 4/16 reduces to 212 1/4
• Question 5

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

5195 ÷ 11

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

472 3/11
EDDIE SAYS
Divide 51 ÷ 11 = 4 rem 7 and bring down the 9 Divide 79 ÷ 11 = 7 rem 2 and bring down the 5 Divide 25 ÷ 11 = 2 rem 3 Answer: 472 3/11
• Question 6

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

4154 ÷ 12

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

346 1/6
EDDIE SAYS
Divide 41 ÷ 12 = 3 rem 5 and bring down the 5 Divide 55 ÷ 12 = 4 rem 7 and bring down the 4 Divide 74 ÷ 12 = 6 rem 2 Answer: 346 2/12 reduces to 346 1/6
• Question 7

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

9858 ÷ 12

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

821 1/2
EDDIE SAYS
Divide 98 ÷ 12 = 8 rem 2 and bring down the 5 Divide 25 ÷ 12 = 2 rem 1 and bring down the 8 Divide 18 ÷ 12 = 1 rem 6 Answer: 821 2/12 reduces to 821 1/2
• Question 8

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

3101 ÷ 14

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

221 1/2
EDDIE SAYS
Divide 31 ÷ 14 = 2 rem 3 and bring down the 0 Divide 30 ÷ 14 = 2 rem 2 and bring down the 1 Divide 21 ÷ 14 = 1 rem 7 Answer: 221 7/14 reduces to 221 1/2
• Question 9

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

4720 ÷ 15

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

314 2/3
EDDIE SAYS
Divide 47 ÷ 15 = 3 rem 2 and bring down the 2 Divide 22 ÷ 15 = 1 rem 7 and bring down the 0 Divide 70 ÷ 15 = 4 rem 10 Answer: 314 10/15 reduces to 314 2/3
• Question 10

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

5535 ÷ 25

(Write any remainder as a reduced fraction, e.g. 343 3/4 with one space between the whole number and the fraction.)

221 2/5
EDDIE SAYS
Divide 55 ÷ 25 = 2 rem 5 and bring down the 3 Divide 53 ÷ 25 = 2 rem 3 and bring down the 5 Divide 35 ÷ 25 = 1 rem 10 Answer: 221 10/25 reduces to 221 2/5
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