Pamela Leutwyler. The base ten division algorithm relies upon your knowledge of base ten...
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Transcript of Pamela Leutwyler. The base ten division algorithm relies upon your knowledge of base ten...
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
