Question
What is the quotient and remainder when $ 4321 $ is divided by $ 56 $ ?
Answer
The quotient is 77 and the remainder is 9.
Explanation
| Division Table | |||||
| 0 | 0 | 7 | 7 | ||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | 1 | |||
| – | 3 | 9 | 2 | ||
| 9 | |||||
|
STEP 0: set up a division table |
|||||
| 5 | 6 | 4 | 3 | 2 | 1 |
|
STEP 1: DIVIDE 4 : 56 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 5 | 6 | 4 | 3 | 2 | 1 |
|
STEP 2: MULTIPLY 0 · 56 = 0 |
|||||
| 0 | |||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
|
STEP 5: DIVIDE 43 : 56 = 0 with a remainder of 43 |
|||||
| 0 | 0 | ||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
|
STEP 6: MULTIPLY 0 · 56 = 0 |
|||||
| 0 | 0 | ||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 43 - 0 = 43 |
|||||
| 0 | 0 | ||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
|
STEP 9: DIVIDE 432 : 56 = 7 with a remainder of 40 |
|||||
| 0 | 0 | 7 | |||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
|
STEP 10: MULTIPLY 7 · 56 = 392 |
|||||
| 0 | 0 | 7 | |||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| 3 | 9 | 2 | |||
|
STEP 11: SUBTRACT 432 - 392 = 40 |
|||||
| 0 | 0 | 7 | |||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 7 | |||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | 1 | |||
|
STEP 13: DIVIDE 401 : 56 = 7 with a remainder of 9 |
|||||
| 0 | 0 | 7 | 7 | ||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | 1 | |||
|
STEP 14: MULTIPLY 7 · 56 = 392 |
|||||
| 0 | 0 | 7 | 7 | ||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | 1 | |||
| 3 | 9 | 2 | |||
|
STEP 15: SUBTRACT 401 - 392 = 9 |
|||||
| 0 | 0 | 7 | 7 | ||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | 1 | |||
| – | 3 | 9 | 2 | ||
| 9 | |||||
|
STEP 15: SUBTRACT 401 - 392 = 9 |
|||||
| 0 | 0 | 7 | 7 | ||
| 5 | 6 | 4 | 3 | 2 | 1 |
| – | 0 | ||||
| 4 | 3 | ||||
| – | 0 | ||||
| 4 | 3 | 2 | |||
| – | 3 | 9 | 2 | ||
| 4 | 0 | 1 | |||
| – | 3 | 9 | 2 | ||
| 9 | |||||
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