Question
What is the quotient and remainder when $ 5591 $ is divided by $ 70 $ ?
Answer
The quotient is 79 and the remainder is 61.
Explanation
| Division Table | |||||
| 0 | 0 | 7 | 9 | ||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | 1 | |||
| – | 6 | 3 | 0 | ||
| 6 | 1 | ||||
|
STEP 0: set up a division table |
|||||
| 7 | 0 | 5 | 5 | 9 | 1 |
|
STEP 1: DIVIDE 5 : 70 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 7 | 0 | 5 | 5 | 9 | 1 |
|
STEP 2: MULTIPLY 0 · 70 = 0 |
|||||
| 0 | |||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
|
STEP 5: DIVIDE 55 : 70 = 0 with a remainder of 55 |
|||||
| 0 | 0 | ||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
|
STEP 6: MULTIPLY 0 · 70 = 0 |
|||||
| 0 | 0 | ||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 55 - 0 = 55 |
|||||
| 0 | 0 | ||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
|
STEP 9: DIVIDE 559 : 70 = 7 with a remainder of 69 |
|||||
| 0 | 0 | 7 | |||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
|
STEP 10: MULTIPLY 7 · 70 = 490 |
|||||
| 0 | 0 | 7 | |||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| 4 | 9 | 0 | |||
|
STEP 11: SUBTRACT 559 - 490 = 69 |
|||||
| 0 | 0 | 7 | |||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 7 | |||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | 1 | |||
|
STEP 13: DIVIDE 691 : 70 = 9 with a remainder of 61 |
|||||
| 0 | 0 | 7 | 9 | ||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | 1 | |||
|
STEP 14: MULTIPLY 9 · 70 = 630 |
|||||
| 0 | 0 | 7 | 9 | ||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | 1 | |||
| 6 | 3 | 0 | |||
|
STEP 15: SUBTRACT 691 - 630 = 61 |
|||||
| 0 | 0 | 7 | 9 | ||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | 1 | |||
| – | 6 | 3 | 0 | ||
| 6 | 1 | ||||
|
STEP 15: SUBTRACT 691 - 630 = 61 |
|||||
| 0 | 0 | 7 | 9 | ||
| 7 | 0 | 5 | 5 | 9 | 1 |
| – | 0 | ||||
| 5 | 5 | ||||
| – | 0 | ||||
| 5 | 5 | 9 | |||
| – | 4 | 9 | 0 | ||
| 6 | 9 | 1 | |||
| – | 6 | 3 | 0 | ||
| 6 | 1 | ||||
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