Question
What is the quotient and remainder when $ 9603 $ is divided by $ 97 $ ?
Answer
The quotient is 99 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 9 | 9 | ||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | 3 | |||
| – | 8 | 7 | 3 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 9 | 7 | 9 | 6 | 0 | 3 |
|
STEP 1: DIVIDE 9 : 97 = 0 with a remainder of 9 |
|||||
| 0 | |||||
| 9 | 7 | 9 | 6 | 0 | 3 |
|
STEP 2: MULTIPLY 0 · 97 = 0 |
|||||
| 0 | |||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
|||||
| 0 | |||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
|
STEP 5: DIVIDE 96 : 97 = 0 with a remainder of 96 |
|||||
| 0 | 0 | ||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
|
STEP 6: MULTIPLY 0 · 97 = 0 |
|||||
| 0 | 0 | ||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 96 - 0 = 96 |
|||||
| 0 | 0 | ||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
|
STEP 9: DIVIDE 960 : 97 = 9 with a remainder of 87 |
|||||
| 0 | 0 | 9 | |||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
|
STEP 10: MULTIPLY 9 · 97 = 873 |
|||||
| 0 | 0 | 9 | |||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| 8 | 7 | 3 | |||
|
STEP 11: SUBTRACT 960 - 873 = 87 |
|||||
| 0 | 0 | 9 | |||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 9 | |||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | 3 | |||
|
STEP 13: DIVIDE 873 : 97 = 9 with a remainder of 0 |
|||||
| 0 | 0 | 9 | 9 | ||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | 3 | |||
|
STEP 14: MULTIPLY 9 · 97 = 873 |
|||||
| 0 | 0 | 9 | 9 | ||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | 3 | |||
| 8 | 7 | 3 | |||
|
STEP 15: SUBTRACT 873 - 873 = 0 |
|||||
| 0 | 0 | 9 | 9 | ||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | 3 | |||
| – | 8 | 7 | 3 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 873 - 873 = 0 |
|||||
| 0 | 0 | 9 | 9 | ||
| 9 | 7 | 9 | 6 | 0 | 3 |
| – | 0 | ||||
| 9 | 6 | ||||
| – | 0 | ||||
| 9 | 6 | 0 | |||
| – | 8 | 7 | 3 | ||
| 8 | 7 | 3 | |||
| – | 8 | 7 | 3 | ||
| 0 | |||||
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