# Divide Integers

In this worksheet, students will practise using the bus-stop method to calculate division problems involving up to 2-digits divisors and 4-digit dividends.

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA

Curriculum topic:   Number, Number Operations and Integers

Curriculum subtopic:   Structure and Calculation, Calculations with Integers

Difficulty level:

### QUESTION 1 of 10

In primary school, you may have spent a lot of time learning about using long division to divide integers, however, you do not have to use this complex method at this level unless you want to.

Instead, we often use a method that is nicknamed the 'bus-stop' method.

The bus-stop method is a way to use your knowledge of times tables to divide.

e.g. 123 ÷ 3

Step 1: Write out the 3 times table (up to 10 x 3).

3 , 6 , 9 , 12 , 15 , 18 , 21 , 24 , 27 , 30

Step 2: Set up the division - the number you are dividing by goes outside and the number you are dividing goes inside.

 3 1 2 3

Step 3: Starting on the left of the number you are dividing, ask: 'How many 3s go into 1?'

As the answer is zero, we need to carry this 1.

 0 3 1 12 3

Step 4: Move onto the next digit. We now ask: 'How many 3s go into 12?'

 0  4 3 1 12 3

Step 5: Finally, move onto the last number. 'How many 3s go into 3?'

 0  4 1 3 1 12 3

Before you start this activity, make sure you have a pen and paper handy so that you can draw your own 'bus-stops' in this challenges.

Work out:

225 ÷ 3

Work out:

180 ÷ 4

Work out:

603 ÷ 9

Work out:

186 ÷ 6

Work out:

203 ÷ 7

Work out:

192 ÷ 4

Work out:

420 ÷ 12

Work out:

2135 ÷ 35

Work out:

928 ÷ 16

Work out:

6424 ÷ 11

• Question 1

Work out:

225 ÷ 3

CORRECT ANSWER
75
EDDIE SAYS
Here is your 3 times tables to help: 3 , 6 , 9 , 12 , 15 , 18 , 21 , 24 , 27 , 30 Did your bus-stop look something like this?:
 0  7   5 3 2 22 15
First, we need to ask ourselves: 'How many 3s are in 2?' The answer is 0 and so we carry the 2 hundreds over into the tens column. Then, 'How many 3s are in 22?' The answer is 7 with a remainder of 1 (7 x 3 = 21). We need to carry the 1 ten into the units column to create 15. Finally, 'How many 3s are in 15?' That's right, the answer is 5! So our overall answer is: 75
• Question 2

Work out:

180 ÷ 4

CORRECT ANSWER
45
EDDIE SAYS
Here is the 4 times tables to assist: 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 Your bus-stop should look a lot like this:
 0  4   5 4 1 18 20
First, we need to ask ourselves: 'How many 4s are in 1?' The answer is 0 and so we carry the 1 hundred over into the tens column. Then, 'How many 4s are in 18?' The answer is 4 with a remainder of 2 (4 x 4 = 16). We need to carry the 2 tens into the units column to create 20. Finally, 'How many 4s are in 20?' That's right, the answer is 5! So our overall answer is: 45 Did you get that?
• Question 3

Work out:

603 ÷ 9

CORRECT ANSWER
67
EDDIE SAYS
Here is the 9 times table to use in this challenge: 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90 Did your bus-stop look like ours?
 0   6   7 9 6 60 63
Great focus! Hopefully you are getting the hang of these now.
• Question 4

Work out:

186 ÷ 6

CORRECT ANSWER
31
EDDIE SAYS
Here is the 6 times table: 6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , 60
 0  3   1 6 1 18  6
Are these getting easier? If not, you can always refer to the intro to review the walk-through guide and explanation.
• Question 5

Work out:

203 ÷ 7

CORRECT ANSWER
29
EDDIE SAYS
Here is the 7 times table: 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63 , 70
 0  2   9 7 2 20 63
• Question 6

Work out:

192 ÷ 4

CORRECT ANSWER
48
EDDIE SAYS
Here is the 4 times table: 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40
 0  4   8 4 1 19 32
• Question 7

Work out:

420 ÷ 12

CORRECT ANSWER
35
EDDIE SAYS
Here is the 12 times table to support you: 12 , 24 , 36 , 48 , 60 , 72 , 84 , 96 , 108 , 120 This was a little trickier, as we have a 2-digit number on the outside to divide by. However, the same rules can be applied as you have been practising so far. Here is what your bus-stop should look like:
 0  3   5 12 4 42 60
You're making great progress; keep going you've almost reached the end of this activity...
• Question 8

Work out:

2135 ÷ 35

CORRECT ANSWER
61
EDDIE SAYS
The numbers are increasing! Write out your 35 times table to help before you start: 35 , 70 , 105 , 140 , 175 , 210 , 245 , 280 , 315 , 350 Your bus-stop should look like this:
 0   0   6   1 35 2  1 213  35
• Question 9

Work out:

928 ÷ 16

CORRECT ANSWER
58
EDDIE SAYS
These are getting trickier, aren't they? Just follow the same rules, with the 16 times table. Did you know this already or did you need to write it down? Here it is written out to help you if you need it: 16 , 32 , 48 , 64 , 80 , 96 , 112 , 128 , 144 , 160
 0  5     8 16 9 92 128
• Question 10

Work out:

6424 ÷ 11

CORRECT ANSWER
584
EDDIE SAYS
Your final challenge is here! Can you spot the pattern with the 11 times table?: 11 , 22 , 33 , 44 , 55 , 66 , 77 , 88 , 99 , 110
 0   5   8   4 11 6 64 92  44
Well done maths whizz, that's another activity under your belt! Why not take a 15 minute break before you start your next one?
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