Question
What is the quotient and remainder when $ 7482 $ is divided by $ 79 $ ?
Answer
The quotient is 94 and the remainder is 56.
Explanation
| Division Table | |||||
| 0 | 0 | 9 | 4 | ||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | 2 | |||
| – | 3 | 1 | 6 | ||
| 5 | 6 | ||||
|
STEP 0: set up a division table |
|||||
| 7 | 9 | 7 | 4 | 8 | 2 |
|
STEP 1: DIVIDE 7 : 79 = 0 with a remainder of 7 |
|||||
| 0 | |||||
| 7 | 9 | 7 | 4 | 8 | 2 |
|
STEP 2: MULTIPLY 0 · 79 = 0 |
|||||
| 0 | |||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||||
| 0 | |||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
|
STEP 5: DIVIDE 74 : 79 = 0 with a remainder of 74 |
|||||
| 0 | 0 | ||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 79 = 0 |
|||||
| 0 | 0 | ||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 74 - 0 = 74 |
|||||
| 0 | 0 | ||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
|
STEP 9: DIVIDE 748 : 79 = 9 with a remainder of 37 |
|||||
| 0 | 0 | 9 | |||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
|
STEP 10: MULTIPLY 9 · 79 = 711 |
|||||
| 0 | 0 | 9 | |||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| 7 | 1 | 1 | |||
|
STEP 11: SUBTRACT 748 - 711 = 37 |
|||||
| 0 | 0 | 9 | |||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 9 | |||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | 2 | |||
|
STEP 13: DIVIDE 372 : 79 = 4 with a remainder of 56 |
|||||
| 0 | 0 | 9 | 4 | ||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | 2 | |||
|
STEP 14: MULTIPLY 4 · 79 = 316 |
|||||
| 0 | 0 | 9 | 4 | ||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | 2 | |||
| 3 | 1 | 6 | |||
|
STEP 15: SUBTRACT 372 - 316 = 56 |
|||||
| 0 | 0 | 9 | 4 | ||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | 2 | |||
| – | 3 | 1 | 6 | ||
| 5 | 6 | ||||
|
STEP 15: SUBTRACT 372 - 316 = 56 |
|||||
| 0 | 0 | 9 | 4 | ||
| 7 | 9 | 7 | 4 | 8 | 2 |
| – | 0 | ||||
| 7 | 4 | ||||
| – | 0 | ||||
| 7 | 4 | 8 | |||
| – | 7 | 1 | 1 | ||
| 3 | 7 | 2 | |||
| – | 3 | 1 | 6 | ||
| 5 | 6 | ||||
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