Question
What is the quotient and remainder when $ 9832 $ is divided by $ 17 $ ?
Answer
The quotient is 578 and the remainder is 6.
Explanation
| Division Table | |||||
| 0 | 5 | 7 | 8 | ||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | 2 | |||
| – | 1 | 3 | 6 | ||
| 6 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 7 | 9 | 8 | 3 | 2 |
|
STEP 1: DIVIDE 9 : 17 = 0 with a remainder of 9 |
|||||
| 0 | |||||
| 1 | 7 | 9 | 8 | 3 | 2 |
|
STEP 2: MULTIPLY 0 · 17 = 0 |
|||||
| 0 | |||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
|||||
| 0 | |||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
|
STEP 5: DIVIDE 98 : 17 = 5 with a remainder of 13 |
|||||
| 0 | 5 | ||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
|
STEP 6: MULTIPLY 5 · 17 = 85 |
|||||
| 0 | 5 | ||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| 8 | 5 | ||||
|
STEP 7: SUBTRACT 98 - 85 = 13 |
|||||
| 0 | 5 | ||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 5 | ||||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
|
STEP 9: DIVIDE 133 : 17 = 7 with a remainder of 14 |
|||||
| 0 | 5 | 7 | |||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
|
STEP 10: MULTIPLY 7 · 17 = 119 |
|||||
| 0 | 5 | 7 | |||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| 1 | 1 | 9 | |||
|
STEP 11: SUBTRACT 133 - 119 = 14 |
|||||
| 0 | 5 | 7 | |||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 5 | 7 | |||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | 2 | |||
|
STEP 13: DIVIDE 142 : 17 = 8 with a remainder of 6 |
|||||
| 0 | 5 | 7 | 8 | ||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | 2 | |||
|
STEP 14: MULTIPLY 8 · 17 = 136 |
|||||
| 0 | 5 | 7 | 8 | ||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | 2 | |||
| 1 | 3 | 6 | |||
|
STEP 15: SUBTRACT 142 - 136 = 6 |
|||||
| 0 | 5 | 7 | 8 | ||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | 2 | |||
| – | 1 | 3 | 6 | ||
| 6 | |||||
|
STEP 15: SUBTRACT 142 - 136 = 6 |
|||||
| 0 | 5 | 7 | 8 | ||
| 1 | 7 | 9 | 8 | 3 | 2 |
| – | 0 | ||||
| 9 | 8 | ||||
| – | 8 | 5 | |||
| 1 | 3 | 3 | |||
| – | 1 | 1 | 9 | ||
| 1 | 4 | 2 | |||
| – | 1 | 3 | 6 | ||
| 6 | |||||
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