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Pamela Leutwyler
The base ten division algorithm relies upon your knowledge of base ten multiplication facts. For example:
..371323
You begin this problem by noting that 23 goes into 71 three times – you can do this easily because you once memorized “3x2 = 6” and “4x2 = 8”
Because you have never memorized multiplication facts in bases other than ten, before you can begin a long division problem, you must list the single digit multiples of your divisor:
example 1:
55 131421
example 1:
55 1314215
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
example 1:
55 1314215
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
too big
3
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3 multiply
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3
subtract in base 5
1 3 1
- 1 1 3
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3
subtract in base 52
1 3 1
- 1 1 3
1 3
1613
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3
134 bring down the 4
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3
13421 goes into 134 four times
4
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3
134
4
134
multiply
example 1:
113
131421 555
5
5
42
2
21
5
5
5
113
3
21
5
5
5
134
4
21
3
134
45
134
example 2:
77 143123
example 2:
77 1431237
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
example 2:
77 1431237
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
too big
4
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
subtract in base 7
1 4 3
- 1 2 5
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
subtract in base 73
1 4 3
- 1 2 5
110
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
subtract in base 73
1 4 3
- 1 2 5
1 5
11015
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
151
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
151
5
example 2:
125
143123 77
7
7
7
46
2
23
7
7
7
102
3
23
7
7
7
125
4
23
7
7
7
151
5
23
7
7
7
204
6
23
4
151
57
151
