Long Division Worksheets | The Bus Stop Method | MME

# Long Division – The Bus Stop Method

Level 1 Level 2 Level 3

## Long Division

There are different methods that can be used for long division but the most commonly used in the UK is the Bus Stop method. The following examples will show you how the Bus Stop method works.

### Example 1: Long Division

Calculate $288 \div 9$

We start by putting the division into the Bus Stop form as show below.

Next we see how many times 9 goes into the first digit, the answer is 0 so the 2 is carried onto the next digit to make a new number, 28.

Now we see how many times 9 goes into 28. We know that $3 \times 9=27$ so 9 goes into 28 3 times with a remainder 1 which is then carried in front of the next digit to make a new number, 18. The three goes at the top, and then we see how many times the 9 then goes into 19, which is 2. The two then goes at the top. These two steps are combined in the image below.

If you want to complete long division in one Bus Stop method diagram which is the easiest way to do it, then the following shows how all the steps can be completed together

### Example 2: Long Division with a Remainder

Calculate $67 \div 5$

We use the same bus stop method as shown below but this time we have a remainder.

### Example Questions

Here we’re going to use the short division method.

14 goes into 3 zero times, so we write a zero above the line and a small 3 – the remainder – in between the 3 and the 1. Then, we see how many times 14 goes into 31, writing the result above the line and the remainder just before the next digit of the dividend.

Repeat this process until you get the complete answer, which looks like,

$\;\;\;\;\;0\;2\;2\;.\;5\\14\overline{\left)3{}^31{}^35.{}^70\right.}$

Here we’re going to use the short division method,

15 goes into 2 zero times, so we write a zero above the line and a small 2 – the remainder – in between the 2 and the 2. Then, we see how many times 15 goes into 22, which is 1, writing the result above the line and the remainder, 7, just before the next digit of the dividend.

$\;\;\;\;\;0\;1\;5\\15\overline{\left)2{}^22{}^75\right.}$

Here we’re going to use the short division method,

160 goes into 4 zero times, so we write a zero above the line and a small 4 – the remainder – in between the 4 and the 3. Then, we see how many times 160 goes into 43, which is also zero, writing the result above the line and the remainder, 43, just before the next digit of the dividend.

Repeat this process until you get the complete answer, which looks like,

$\;\;\;\;\;\;\;0\;\;0\;\;2\;\;7\\160\overline{\left)4{}^43{}^{43}2{}^{112}0\right.}$

Here we’re going to use the long division method,

13 goes into 2 zero times, so we write a zero above the line and a small 2 – the remainder – below and bring down the 9. Then, we see how many times 13 goes into 29, which is 2, writing the result above the line and the remainder, 3, (i.e. 29-26=3) below and bring down the other 9.

Repeat this process until you get the complete answer, which looks like,

$\;\;\;\;0\;2\;3\\13\overline{\left)2{}^29{}^39\right.}\\\underline0\;\\29\\\underline{26}\\\;\;\;39\;\\\;\;\underline{39}\\\;\;\;\;\;0\\\;\;\;\;\;\;\;\;$

Here we’re going to use the short division method,

9 goes into 2 zero times, so we write a zero above the line and a small 2 – the remainder – in between the 2 and the 3. Then, we see how many times 9 goes into 23, which is 2, writing the result above the line and the remainder, 5, just before the next digit of the dividend, so we find,

$\;\;\;0\;2\;6\\9\overline{\left)2{}^23{}^54\right.}\\\;\;\;\;\;\;\;\;$

Level 1-3

Level 1-3

GCSE MATHS

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