2. Nearly everybody makes the same mistake when it comes to long division. Long
division can be daunting, but with the right method, and lots of practice, you will
be become better and better!
Here, I have provided you with a SUCCESSFUL method that will allow you to
undergo long division.
‘Long Division’ 1
2
2
3 1
4
3
6
3. Example 1
How to work it out:
1
2
2
3 1
4
3
6
195 ÷ 15
15
195
We are dividing by 15, so I
am going to write down
the times tables for 15.
You will see why in a
minute!
15 30 45 60 75 90 105 120 135
15 into 1 won’t go (it goes 0 times) So put a ‘0’ above the (1).
15
195
0
15
195
0
15 into 19 goes 1 time. Put a ‘1’ above the number (9).
15
195
01
15
Write the number 15 under the sum you have just worked out (19). You
write 15 because you need to find the remainder.
15
195
01
15
4
Subtract 15 by 19 to find the remainder. Write the number ‘4’ underneath
correct column.
4. 15
195
01
15
4
So far we have dealt with the 1 and 9, so we now need to deal with
the last number, ‘5’. Write the number ‘5’ next to the remainder of
‘4’.
15
195
01
15
45
How many 15’s go into 45? The answer would be 3. So you would
write the ‘3’ above the horizontal line, next to the ‘1’.
There isn’t a remainder, so the sum is finished!15
195
013
15
45
5. Example 2
1
2
2
3 1
4
3
6
How to work it out:
777 ÷ 21
21
777
We are dividing by 21, so I
am going to write down
the times tables for 21.
21 42 63 84 105 126 147 168 189
21 into 7 won’t go. So put a ‘0’ above the (7).
21
777
0
21
777
0
Now its 21 into 77. It goes 3 times (63). Write the 3 next to the ‘0’.
21
777
03
63
Write the number 63 under the sum you have just worked out (77). You
write 63 because you need to find the remainder.
21
777
01
63
14
Subtract 63 by 77 to find the remainder. Write the number ‘14’ underneath
correct column.
6. 21
777
03
63
14
So far we have dealt with the 7 and 7, so we now need to deal with
the last number, ‘7’. Write the number ‘7’ next to the remainder of
‘14’.
21
777
03
63
147
How many 21’s go into 147? The answer would be 7. So you would
write the ‘7’ above the horizontal line, next to the ‘3’.
There isn’t a remainder, so the sum is finished!21
777
037
63
147
7. Example 3
1
2
2
3 1
4
3
6
Work out the following question yourself, using the
long division as previous shown, and write your
answer in the comments section below.