What is the quotient and remainder when $ 12 $ is divided by $ 4096 $ ?
The quotient is 0 and the remainder is 12.
Division Table | |||||
0 | 0 | ||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 | 2 | ||||
– | 0 | ||||
1 | 2 |
STEP 0: set up a division table |
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4 | 0 | 9 | 6 | 1 | 2 |
STEP 1: DIVIDE 1 : 4096 = 0 with a remainder of 1 |
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0 | |||||
4 | 0 | 9 | 6 | 1 | 2 |
STEP 2: MULTIPLY 0 · 4096 = 0 |
|||||
0 | |||||
4 | 0 | 9 | 6 | 1 | 2 |
0 |
STEP 3: SUBTRACT 1 - 0 = 1 |
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0 | |||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 |
STEP 4: BRING DOWN | |||||
0 | |||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 | 2 |
STEP 5: DIVIDE 12 : 4096 = 0 with a remainder of 12 |
|||||
0 | 0 | ||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 | 2 |
STEP 6: MULTIPLY 0 · 4096 = 0 |
|||||
0 | 0 | ||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 | 2 | ||||
0 |
STEP 7: SUBTRACT 12 - 0 = 12 |
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0 | 0 | ||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 | 2 | ||||
– | 0 | ||||
1 | 2 |
STEP 7: SUBTRACT 12 - 0 = 12 |
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0 | 0 | ||||
4 | 0 | 9 | 6 | 1 | 2 |
– | 0 | ||||
1 | 2 | ||||
– | 0 | ||||
1 | 2 |