Numeracy Worksheet - Castlebrae Community High School - 2012 Page 16
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47FHS Numeracy
contents page
Division
Long Division
We CAN divide by a 2 or 3 digit number without a calculator.
We don’t want to divide by a decimal and we
Example 9
3741 ÷ 32
cannot make 32 simpler.
Level 3
Method 1
0 1 1 6 9
32
3 7 4 0 8
3 2
-
5 4
3 2
This is the method most used when setting out
-
working.
2 2 0
1 9 2
-
2 8 8
2 8 8
-
0
Possibly an easier way may be to treat the long division as a normal divide
calculation and list the tables at the side.
We only list the 32
32
32
32
Method 2
0 1 1 6 9
times table as far as we
64
64
3
5
22
28
need to go. We can add
32 3
7
4
0
8
96
96
128
to it if we need to.
128
160
160
The list length will only
192
192
ever be a maximum of 9
224
numbers.
256
288
Example 10 357.4 ÷ 4.6
Level 3
357.4 ÷ 4.6
We never want to divide by a decimal.
Change the calculation and balance it.
35.74 ÷ 46
46
92
138
0. 7 7 6 . . .
184
3
35
32
22
46 3
5.
7
4
0
230
276
322
357.4 ÷ 4.6 = 0.78
368
When we have a never ending decimal as our answer we have to decide when to stop dividing
and round appropriately (see rounding).
16
L Watson 2012
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