Short division

When you are doing division, it's helpful to use a written method.
This can be especially useful if the numbers get too big to calculate in your head.
If the number you are dividing by (this is called the divisor) is a single digit number, you can use a method called short division.

Activity: Written methods for short division
Complete this interactive activity to learn about short division. Then put your knowledge to the test.
Calculating using short division
Sometimes division calculations involve numbers that are too big for you to calculate mentally. In these situations you need to use a written method.
If you are dividing a number by a single digit, you can use short division.
Here's how you can use short division to work out 345 ÷ 3.

Image caption, With short division, always begin with the highest value digit. Here it's the hundreds.

Image caption, In this example, when you divide the tens, there are some left over. Anything left over, moves to the next column to the right.

Image caption, In this example, the left over ten moved into the ones column, to make 15. The final answer is 115.
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Example 1

Try and use short division to solve this calculation.
693 ÷ 3 = ?
It is a written method, so you will need something to write on.
✓ The answer is 231.
Remember to work from the highest value digit, from left to right.

Example 2

Solve this calculation:
124 ÷ 4 = ?
If there are not enough in the hundreds to make a group of 4, what can you do to work out the answer?
✓ As there are not enough hundreds, you should move straight to the tens.
Dividing the 12 tens by 4, gives you 3. Then move to the ones and make 1 group of 4.
The answer is 31.

Example 3

Solve this calculation:
645 ÷ 5 = ?
✓ You need to move a leftover hundred into the tens and then 4 leftover tens into the ones.
This will help you to work out that the answer is 129.

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More on Multiplying and dividing
Find out more by working through a topic
- count21 of 32

- count22 of 32

- count23 of 32

- count24 of 32
