How_To_Be_Good_At_Math

CALCULATING • EXPANDED SHORT DIVISION 141

The last step is to add up how many

7s we’ve taken away. That’s why we

wrote them down beside our calculation

as we went along. So, 10 + 10 + 2 = 22

groups of 7. Write 22 above the bracket,

then put “r2” beside it to show that 7

doesn’t go into 156 exactly.

So, 156 ÷ 7 = 22 r2

Now we’ve only got 16 left from our

original dividend of 156. That

number’s too small to subtract another

70, so we need to find the largest number

of 7s we can take away from 16. The

answer’s 2 of course, since 7 × 2 = 14

Next, we take away 14 from 16. That

leaves us with 2. We can’t take any

more 7s away from 2, so we’ve come to

the end of our subtractions. The left-over

2 is the remainder.

70

(^7156)
Keep writing
down the
number of 7s
Put the total
number of
7s here
H T O
86
70
(7 × 10)
16
(7 × 10)
(7 × 2)
70
(^7156)
Add up how many 7s we’ve subtracted
This is the
remainder
86
70
14
(7 × 10)
16
(7 × 10)
2
(7 × 2)
156 ÷ 7 = 22 r2
Expand your skills
Try using expanded short division
to do these division calculations.
TRY IT OUT
Answers on page 319
H
− − − − − −
If you work with bigger
chunks, you’ll be able to
do the division with fewer
subtractions.
T O
196 ÷ 6 =?
Start by subtracting
30 groups of 6.
234 ÷ 5 =?
22
22r2
14
2
140-141_Expanded_short_division.indd 141 29/02/2016 18:03