Question
What is the quotient and remainder when $ 8502 $ is divided by $ 78 $ ?
Answer
The quotient is 109 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 1 | 0 | 9 | ||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | 2 | |||
| – | 7 | 0 | 2 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 7 | 8 | 8 | 5 | 0 | 2 |
|
STEP 1: DIVIDE 8 : 78 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 7 | 8 | 8 | 5 | 0 | 2 |
|
STEP 2: MULTIPLY 0 · 78 = 0 |
|||||
| 0 | |||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
|
STEP 5: DIVIDE 85 : 78 = 1 with a remainder of 7 |
|||||
| 0 | 1 | ||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
|
STEP 6: MULTIPLY 1 · 78 = 78 |
|||||
| 0 | 1 | ||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| 7 | 8 | ||||
|
STEP 7: SUBTRACT 85 - 78 = 7 |
|||||
| 0 | 1 | ||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
|
STEP 9: DIVIDE 70 : 78 = 0 with a remainder of 70 |
|||||
| 0 | 1 | 0 | |||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
|
STEP 10: MULTIPLY 0 · 78 = 0 |
|||||
| 0 | 1 | 0 | |||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| 0 | |||||
|
STEP 11: SUBTRACT 70 - 0 = 70 |
|||||
| 0 | 1 | 0 | |||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 0 | |||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | 2 | |||
|
STEP 13: DIVIDE 702 : 78 = 9 with a remainder of 0 |
|||||
| 0 | 1 | 0 | 9 | ||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | 2 | |||
|
STEP 14: MULTIPLY 9 · 78 = 702 |
|||||
| 0 | 1 | 0 | 9 | ||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | 2 | |||
| 7 | 0 | 2 | |||
|
STEP 15: SUBTRACT 702 - 702 = 0 |
|||||
| 0 | 1 | 0 | 9 | ||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | 2 | |||
| – | 7 | 0 | 2 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 702 - 702 = 0 |
|||||
| 0 | 1 | 0 | 9 | ||
| 7 | 8 | 8 | 5 | 0 | 2 |
| – | 0 | ||||
| 8 | 5 | ||||
| – | 7 | 8 | |||
| 7 | 0 | ||||
| – | 0 | ||||
| 7 | 0 | 2 | |||
| – | 7 | 0 | 2 | ||
| 0 | |||||
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