Question
What is the quotient and remainder when $ 8051 $ is divided by $ 83 $ ?
Answer
The quotient is 97 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 9 | 7 | ||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | 1 | |||
| – | 5 | 8 | 1 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 8 | 3 | 8 | 0 | 5 | 1 |
|
STEP 1: DIVIDE 8 : 83 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 8 | 3 | 8 | 0 | 5 | 1 |
|
STEP 2: MULTIPLY 0 · 83 = 0 |
|||||
| 0 | |||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
|
STEP 5: DIVIDE 80 : 83 = 0 with a remainder of 80 |
|||||
| 0 | 0 | ||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
|
STEP 6: MULTIPLY 0 · 83 = 0 |
|||||
| 0 | 0 | ||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 80 - 0 = 80 |
|||||
| 0 | 0 | ||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
|
STEP 9: DIVIDE 805 : 83 = 9 with a remainder of 58 |
|||||
| 0 | 0 | 9 | |||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
|
STEP 10: MULTIPLY 9 · 83 = 747 |
|||||
| 0 | 0 | 9 | |||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| 7 | 4 | 7 | |||
|
STEP 11: SUBTRACT 805 - 747 = 58 |
|||||
| 0 | 0 | 9 | |||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 9 | |||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | 1 | |||
|
STEP 13: DIVIDE 581 : 83 = 7 with a remainder of 0 |
|||||
| 0 | 0 | 9 | 7 | ||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | 1 | |||
|
STEP 14: MULTIPLY 7 · 83 = 581 |
|||||
| 0 | 0 | 9 | 7 | ||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | 1 | |||
| 5 | 8 | 1 | |||
|
STEP 15: SUBTRACT 581 - 581 = 0 |
|||||
| 0 | 0 | 9 | 7 | ||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | 1 | |||
| – | 5 | 8 | 1 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 581 - 581 = 0 |
|||||
| 0 | 0 | 9 | 7 | ||
| 8 | 3 | 8 | 0 | 5 | 1 |
| – | 0 | ||||
| 8 | 0 | ||||
| – | 0 | ||||
| 8 | 0 | 5 | |||
| – | 7 | 4 | 7 | ||
| 5 | 8 | 1 | |||
| – | 5 | 8 | 1 | ||
| 0 | |||||
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