Question
What is the quotient and remainder when $ 5353 $ is divided by $ 58 $ ?
Answer
The quotient is 92 and the remainder is 17.
Explanation
| Division Table | |||||
| 0 | 0 | 9 | 2 | ||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 6 | ||
| 1 | 7 | ||||
|
STEP 0: set up a division table |
|||||
| 5 | 8 | 5 | 3 | 5 | 3 |
|
STEP 1: DIVIDE 5 : 58 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 5 | 8 | 5 | 3 | 5 | 3 |
|
STEP 2: MULTIPLY 0 · 58 = 0 |
|||||
| 0 | |||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
|
STEP 5: DIVIDE 53 : 58 = 0 with a remainder of 53 |
|||||
| 0 | 0 | ||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
|
STEP 6: MULTIPLY 0 · 58 = 0 |
|||||
| 0 | 0 | ||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 53 - 0 = 53 |
|||||
| 0 | 0 | ||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
|
STEP 9: DIVIDE 535 : 58 = 9 with a remainder of 13 |
|||||
| 0 | 0 | 9 | |||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
|
STEP 10: MULTIPLY 9 · 58 = 522 |
|||||
| 0 | 0 | 9 | |||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| 5 | 2 | 2 | |||
|
STEP 11: SUBTRACT 535 - 522 = 13 |
|||||
| 0 | 0 | 9 | |||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 9 | |||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | 3 | |||
|
STEP 13: DIVIDE 133 : 58 = 2 with a remainder of 17 |
|||||
| 0 | 0 | 9 | 2 | ||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | 3 | |||
|
STEP 14: MULTIPLY 2 · 58 = 116 |
|||||
| 0 | 0 | 9 | 2 | ||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | 3 | |||
| 1 | 1 | 6 | |||
|
STEP 15: SUBTRACT 133 - 116 = 17 |
|||||
| 0 | 0 | 9 | 2 | ||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 6 | ||
| 1 | 7 | ||||
|
STEP 15: SUBTRACT 133 - 116 = 17 |
|||||
| 0 | 0 | 9 | 2 | ||
| 5 | 8 | 5 | 3 | 5 | 3 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 5 | |||
| – | 5 | 2 | 2 | ||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 6 | ||
| 1 | 7 | ||||
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