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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:   Maths and Numerical Reasoning

Curriculum subtopic:   Mixed Problems

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 look 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 you 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

  • 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

\"\"

---- OR ----

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