148 CALCULATING •^ CONVERTING REMAINDERS
Converting remainders
We can convert the remainder in the answer to a division
calculation into either a decimal or a fraction.
When you write your
answer above the division
bracket, line up the decimal
point with the decimal
point below the bracket.
Start by writing out the
calculation like this.
75 ÷ 6 =?
First, divide the first digit in the dividend,
7, by 6. As 6 can go into 7 only once,
write 1 above the 7 on the division bracket,
in the tens column. Write the 6 beneath the
7, then subtract this 6 from 7 to get your
remainder, which is 1.
Now we move on to the second digit
in the dividend which is 5. Bring this
down to sit next to the 1 at the bottom of
the calculation. Divide 15 by 6. We know
6 × 2 = 12, so write 2 on the division
bracket in the ones column. Write 12
beneath 15 and subtract 12 from 15.
The answer is 3. This is the remainder.
6
2
6
5
−
7 5
Let’s divide 75 by 6 using expanded
short division and convert the
remainder into a decimal.
Converting remainders into decimals
If the answer to a division calculation has a remainder, we can
convert that into a decimal by simply adding a decimal point to
the dividend and continuing with the calculation.
1
1
1 2
3
6
6
− 6
7
7
5
5
Write down how
many 6s you’ve
subtracted from 7
Label the
columns to
show place
values
Draw a line and write
what’s left over here,
keeping the place
values lined up
Bring down the 5
1
1
T O 101
T O 101
T O 101
148_149_Coverting_remainders.indd 148 29/02/2016 18:57