Question
What is the quotient and remainder when $ 5781 $ is divided by $ 41 $ ?
Answer
The quotient is 141 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 1 | 4 | 1 | ||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | 1 | ||||
| – | 4 | 1 | |||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 4 | 1 | 5 | 7 | 8 | 1 |
|
STEP 1: DIVIDE 5 : 41 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 4 | 1 | 5 | 7 | 8 | 1 |
|
STEP 2: MULTIPLY 0 · 41 = 0 |
|||||
| 0 | |||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
|
STEP 5: DIVIDE 57 : 41 = 1 with a remainder of 16 |
|||||
| 0 | 1 | ||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
|
STEP 6: MULTIPLY 1 · 41 = 41 |
|||||
| 0 | 1 | ||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| 4 | 1 | ||||
|
STEP 7: SUBTRACT 57 - 41 = 16 |
|||||
| 0 | 1 | ||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
|
STEP 9: DIVIDE 168 : 41 = 4 with a remainder of 4 |
|||||
| 0 | 1 | 4 | |||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
|
STEP 10: MULTIPLY 4 · 41 = 164 |
|||||
| 0 | 1 | 4 | |||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| 1 | 6 | 4 | |||
|
STEP 11: SUBTRACT 168 - 164 = 4 |
|||||
| 0 | 1 | 4 | |||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 4 | |||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | 1 | ||||
|
STEP 13: DIVIDE 41 : 41 = 1 with a remainder of 0 |
|||||
| 0 | 1 | 4 | 1 | ||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | 1 | ||||
|
STEP 14: MULTIPLY 1 · 41 = 41 |
|||||
| 0 | 1 | 4 | 1 | ||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | 1 | ||||
| 4 | 1 | ||||
|
STEP 15: SUBTRACT 41 - 41 = 0 |
|||||
| 0 | 1 | 4 | 1 | ||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | 1 | ||||
| – | 4 | 1 | |||
| 0 | |||||
|
STEP 15: SUBTRACT 41 - 41 = 0 |
|||||
| 0 | 1 | 4 | 1 | ||
| 4 | 1 | 5 | 7 | 8 | 1 |
| – | 0 | ||||
| 5 | 7 | ||||
| – | 4 | 1 | |||
| 1 | 6 | 8 | |||
| – | 1 | 6 | 4 | ||
| 4 | 1 | ||||
| – | 4 | 1 | |||
| 0 | |||||
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