411 REFERENCE · Wikibooks
Using an Abacus/Division
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Division is practically the opposite process of multiplication. Division of a given number by a desired number involves the subtraction of the given number by the desired number a certain amount of times, and this certain amount of times the answer.
To divide:
display original number
think of desired number
subtract original number by desired number
add a bead to a separated row (recommended two above highest digit of original number), this is the counter row
Repeat steps 3-4 until original number is less than desired number
multiply original number by 10 and repeat steps 3-4 while adding one bead one digit less than counter.
Example: (15/4)
15=15 Counter
000-0|-0 0000-|-0
0000-|0- 0000-|-0•
15-4=11 1
000-0|-0 000-0|-0
000-0|-0 0000-|-0•
11-4=7 2
0000-|-0 00-00|-0
00-00|0- 0000-|-0•
7-4=3 3
0000-|-0 0-000|-0
0-000|-0 0000-|-0•
30-4=26 3.1
00-00|-0 0-000|-0
000-0|0- 000-0|-0•
... (6 more times)
6-4=2 3.7
0000-|-0 0-000|-0
00-00|-0 00-00|0-•
20-4=16 3.71
000-0|-0 0-000|-0
000-0|0- 00-00|0-•
000-0|-0
... (4 more times)
4-4=0 3.75
0000-|-0 0-000|-0
0000-|-0 00-00|0-
0000-|0-
Thus (15/4)=3.75
External links
Division on a Japanese abacus selected from Abacus: Mystery of the Bead