Question
What is the quotient and remainder when $ 8715 $ is divided by $ 21 $ ?
Answer
The quotient is 415 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 4 | 1 | 5 | ||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | 5 | |||
| – | 1 | 0 | 5 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 2 | 1 | 8 | 7 | 1 | 5 |
|
STEP 1: DIVIDE 8 : 21 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 2 | 1 | 8 | 7 | 1 | 5 |
|
STEP 2: MULTIPLY 0 · 21 = 0 |
|||||
| 0 | |||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
|
STEP 5: DIVIDE 87 : 21 = 4 with a remainder of 3 |
|||||
| 0 | 4 | ||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
|
STEP 6: MULTIPLY 4 · 21 = 84 |
|||||
| 0 | 4 | ||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| 8 | 4 | ||||
|
STEP 7: SUBTRACT 87 - 84 = 3 |
|||||
| 0 | 4 | ||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 4 | ||||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
|
STEP 9: DIVIDE 31 : 21 = 1 with a remainder of 10 |
|||||
| 0 | 4 | 1 | |||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
|
STEP 10: MULTIPLY 1 · 21 = 21 |
|||||
| 0 | 4 | 1 | |||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| 2 | 1 | ||||
|
STEP 11: SUBTRACT 31 - 21 = 10 |
|||||
| 0 | 4 | 1 | |||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 4 | 1 | |||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | 5 | |||
|
STEP 13: DIVIDE 105 : 21 = 5 with a remainder of 0 |
|||||
| 0 | 4 | 1 | 5 | ||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | 5 | |||
|
STEP 14: MULTIPLY 5 · 21 = 105 |
|||||
| 0 | 4 | 1 | 5 | ||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | 5 | |||
| 1 | 0 | 5 | |||
|
STEP 15: SUBTRACT 105 - 105 = 0 |
|||||
| 0 | 4 | 1 | 5 | ||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | 5 | |||
| – | 1 | 0 | 5 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 105 - 105 = 0 |
|||||
| 0 | 4 | 1 | 5 | ||
| 2 | 1 | 8 | 7 | 1 | 5 |
| – | 0 | ||||
| 8 | 7 | ||||
| – | 8 | 4 | |||
| 3 | 1 | ||||
| – | 2 | 1 | |||
| 1 | 0 | 5 | |||
| – | 1 | 0 | 5 | ||
| 0 | |||||
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