Short division using written methods

Part ofMathematics and NumeracyMultiplyingYear 4

Short division

A child pointing at a whiteboard showing 645 ÷ 5 in the bus stop method. The remainders 1 and 4 are moved to the tens and ones columns. The answer 129 is shown.

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.

A child pointing at a whiteboard showing 645 ÷ 5 in the bus stop method. The remainders 1 and 4 are moved to the tens and ones columns. The answer 129 is shown.
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Activity: Written methods for short division

Complete this interactive activity to learn about short division. Then put your knowledge to the test.

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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 gallerySkip image gallerySlide1 of 3, A bus stop calculation showing 345 ÷3. The highest digit, 3, has been divided by 3 and a 1 placed above the bus stop., With short division, always begin with the highest value digit. Here it's the hundreds.
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Example 1

The calculation 693 ÷3 laid out in short division.

Try and use short division to solve this calculation.

693 ÷ 3 = ?

It is a written method, so you will need something to write on.

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Example 2

The calculation 124 ÷ 4 laid out in the bus stop method.

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?

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Example 3

The calculation 645 ÷5 laid out in the bus stop method.

Solve this calculation:

645 ÷ 5 = ?

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Play our fun maths game Guardians: Defenders of Mathematica. game

Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
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