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division of m by n with m < n (natural numbers in base ten) and result in a base of your choice By clicking [one step] you gradually get the figures of the result m = n = base = remainder = |
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division of m by n with m < n (natural numbers in base ten) and result in a base of your choice By clicking [one step] you gradually get the figures of the result m = n = base = remainder = |
Some other examples:
• the result of 2/3 (in base ten) is (in base ten) 0.666…; at each step the remainder is 2 (6*3 = 18, 20-18 = 2)
• the result of 2/3 (in base ten) is (in base two) 0.101010…; the remainders are 2, 1, 2, 1, …
2 | 3
0 |----
--| 0.
2
2 | 3
0 |----
--| 0.1
2*2=4
3
--
1
2 | 3
0 |----
--| 0.10
2*2=4
3
--
1*2=2
0
--
2
2 | 3
0 |----
--| 0.101
2*2=4
3
--
1*2=2
0
--
2*2=4
3
--
1
• the result of 2/3 (in base ten) is (in base sixty) 0.(40)000…; the remainders are 2, 0, 0, 0, …
2 | 3
0 |----
--| 0.
2
2 | 3
0 |----
--| 0.(40)
2*60=120
120
---
0
• the result of 1/10 (in base ten) is (in base two) 0.000110011001100…; the remainders are 1, 2, 4, 8, 6, 2, 4, 8, …
1 | 10
0 |----
--| 0.
1
1 | 10
0 |----
--| 0.0
1*2=2
0
--
2
1 | 10
0 |----
--| 0.00
1*2=2
0
--
2*2=4
0
--
4
1 | 10
0 |----
--| 0.000
1*2=2
0
--
2*2=4
0
--
4*2=8
0
--
8
1 | 10
0 |----
--| 0.0001
1*2=2
0
--
2*2=4
0
--
4*2=8
0
--
8*2=16
10
--
6
1 | 10
0 |----
--| 0.00011
1*2=2
0
--
2*2=4
0
--
4*2=8
0
--
8*2=16
10
--
6*2=12
10
--
2
1 | 10
0 |----
--| 0.000110
1*2=2
0
--
2*2=4
0
--
4*2=8
0
--
8*2=16
10
--
6*2=12
10
--
2*2=4
0
--
4
1 | 10
0 |----
--| 0.0001100 11001100...
1*2=2
0
--
2*2=4
0
--
4*2=8
0
--
8*2=16
10
--
6*2=12
10
--
2*2=4
0
--
4*2=8
0
--
8 etc.