Long Division by Factors 143
We now divide 6 into 54. What do we multiply by 6 to get an
answer of 54? Th e answer is 9. Nine times 6 is exactly 54, so we
write 9 and carry no remainder.
Now we have one digit left to divide. Zero divided by 6 is 0, so we
write 0 as the fi nal digit of the fi rst answer. Our calculation looks
like this:
6 3 90
6 2,3^540
Now we divide our answer, 390, by the second 6.
Six divides into 39 six times with 3 remainder (6 × 6 = 36). Write 6
above the 9 and carry the 3 remainder to make 30.
6
6 3 9^30
6 2,3^540
Six divides into 30 exactly 5 times, so the next digit of the answer is
- Our answer is 65 with no remainder.
Depending on which layout you use, your fi nal calculation would
look like one of these:
6 5 6 2,3^5 4 0
6 3 9^3 0 6 3 9^30
6 2,3^5 4 0 6 5
What are some other factors we could use? To divide by 48, we
could divide by 6, then by 8 (6 × 8 = 48).
To divide by 25, we would divide by 5 twice (5 × 5 = 25).
To divide by 24, we could divide by 4, then by 6 (4 × 6 = 24). Or
we could divide by 3, then by 8, or we could halve the number and
then divide by 12.