Question
What is the quotient and remainder when $ 591 $ is divided by $ 985 $ ?
Answer
The quotient is 0 and the remainder is 591.
Explanation
| Division Table | |||||
| 0 | 0 | 0 | |||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | 1 | |||
| – | 0 | ||||
| 5 | 9 | 1 | |||
|
STEP 0: set up a division table |
|||||
| 9 | 8 | 5 | 5 | 9 | 1 |
|
STEP 1: DIVIDE 5 : 985 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 9 | 8 | 5 | 5 | 9 | 1 |
|
STEP 2: MULTIPLY 0 · 985 = 0 |
|||||
| 0 | |||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
|
STEP 5: DIVIDE 59 : 985 = 0 with a remainder of 59 |
|||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
|
STEP 6: MULTIPLY 0 · 985 = 0 |
|||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 59 - 0 = 59 |
|||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | 1 | |||
|
STEP 9: DIVIDE 591 : 985 = 0 with a remainder of 591 |
|||||
| 0 | 0 | 0 | |||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | 1 | |||
|
STEP 10: MULTIPLY 0 · 985 = 0 |
|||||
| 0 | 0 | 0 | |||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | 1 | |||
| 0 | |||||
|
STEP 11: SUBTRACT 591 - 0 = 591 |
|||||
| 0 | 0 | 0 | |||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | 1 | |||
| – | 0 | ||||
| 5 | 9 | 1 | |||
|
STEP 11: SUBTRACT 591 - 0 = 591 |
|||||
| 0 | 0 | 0 | |||
| 9 | 8 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 9 | ||||
| – | 0 | ||||
| 5 | 9 | 1 | |||
| – | 0 | ||||
| 5 | 9 | 1 | |||
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