1. Division with Decimals
What is division?
means:
how many piles of ….. can you make?
This can be demonstrated using the denomination of cups
Denomination is ‘what we are counting in’ = 5

2. Division with Decimals
When the numbers get bigger it is no longer practical to use or draw
cups. However the principle stays the same. =
How many piles of 15 can we make? 15
4 piles so
= 4
The denomination can be anything we want it to be:
60 pens can be put into 4 piles of 15 pens
60 tables can be put into 4 piles of 15 tables
60 tens can be put into 4 piles of 15 tens
= 4
60 hundreds can be put into 4 piles of 15 hundreds
= 4

3. Division with Decimals
Lets see how we can use this with decimals
We can say that the denomination is tenths
6 tenths tenths
How many piles of 2 tenths can we make out of 6 tenths?
So the calculation now becomes: =
3 (piles of 2 tenths) =
This will be easier if we think about the denomination
of the quotient (the amount of ‘cups’ that I want in a pile)
In this case the quotient is 0.2
This is 2 tenths, therefore we need to start thinking tenths
There are 60 tenths in 6 and 2 tenths in 0.2 so the calculation becomes: = 30

4. Division with Decimals
Now try these:
¸ =
2. 12 ¸ =
¸ =
¸ =
¸ =
¸ =
7. 10 ¸ =
8. 18 ¸ =
9. 1.8¸ =
¸ =
think tenths
80 ¸ 2 = 40
think tenths
120 ¸ 4 = 30
think tenths
10 ¸ 5 = 2
think tenths
20 ¸ 4 = 5
think tenths
60 ¸ 3 = 20
think hundredths
500 ¸ 2 = 250
think hundredths
¸ 5 = 200
think hundredths
¸ 3 = 600
think tenths
18 ¸ 6 = 3
think hundredths
240 ¸ 8 = 30
Can you see a quick way of finding the correct calculation?

5. Division with Decimals
Harder Division =
1358
Draw the division box with the divisor outside 1 3 5 8 2 4 5
Now try these:
8 =
9 = =
106
107
806

6. Division with Decimals
Now try these:
8 =
9 = =