Question
What is the quotient and remainder when $ 4085 $ is divided by $ 43 $ ?
Answer
The quotient is 95 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 9 | 5 | ||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | 5 | |||
| – | 2 | 1 | 5 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 4 | 3 | 4 | 0 | 8 | 5 |
|
STEP 1: DIVIDE 4 : 43 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 4 | 3 | 4 | 0 | 8 | 5 |
|
STEP 2: MULTIPLY 0 · 43 = 0 |
|||||
| 0 | |||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
|
STEP 5: DIVIDE 40 : 43 = 0 with a remainder of 40 |
|||||
| 0 | 0 | ||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
|
STEP 6: MULTIPLY 0 · 43 = 0 |
|||||
| 0 | 0 | ||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 40 - 0 = 40 |
|||||
| 0 | 0 | ||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
|
STEP 9: DIVIDE 408 : 43 = 9 with a remainder of 21 |
|||||
| 0 | 0 | 9 | |||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
|
STEP 10: MULTIPLY 9 · 43 = 387 |
|||||
| 0 | 0 | 9 | |||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| 3 | 8 | 7 | |||
|
STEP 11: SUBTRACT 408 - 387 = 21 |
|||||
| 0 | 0 | 9 | |||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 9 | |||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | 5 | |||
|
STEP 13: DIVIDE 215 : 43 = 5 with a remainder of 0 |
|||||
| 0 | 0 | 9 | 5 | ||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | 5 | |||
|
STEP 14: MULTIPLY 5 · 43 = 215 |
|||||
| 0 | 0 | 9 | 5 | ||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | 5 | |||
| 2 | 1 | 5 | |||
|
STEP 15: SUBTRACT 215 - 215 = 0 |
|||||
| 0 | 0 | 9 | 5 | ||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | 5 | |||
| – | 2 | 1 | 5 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 215 - 215 = 0 |
|||||
| 0 | 0 | 9 | 5 | ||
| 4 | 3 | 4 | 0 | 8 | 5 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 8 | |||
| – | 3 | 8 | 7 | ||
| 2 | 1 | 5 | |||
| – | 2 | 1 | 5 | ||
| 0 | |||||
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