Question
What is the quotient and remainder when $ 40731 $ is divided by $ 89 $ ?
Answer
The quotient is 457 and the remainder is 58.
Explanation
| Division Table | ||||||
| 0 | 0 | 4 | 5 | 7 | ||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | 1 | ||||
| – | 6 | 2 | 3 | |||
| 5 | 8 | |||||
|
STEP 0: set up a division table |
||||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
|
STEP 1: DIVIDE 4 : 89 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
|
STEP 2: MULTIPLY 0 · 89 = 0 |
||||||
| 0 | ||||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
|
STEP 5: DIVIDE 40 : 89 = 0 with a remainder of 40 |
||||||
| 0 | 0 | |||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 89 = 0 |
||||||
| 0 | 0 | |||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 40 - 0 = 40 |
||||||
| 0 | 0 | |||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
|
STEP 9: DIVIDE 407 : 89 = 4 with a remainder of 51 |
||||||
| 0 | 0 | 4 | ||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
|
STEP 10: MULTIPLY 4 · 89 = 356 |
||||||
| 0 | 0 | 4 | ||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| 3 | 5 | 6 | ||||
|
STEP 11: SUBTRACT 407 - 356 = 51 |
||||||
| 0 | 0 | 4 | ||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 4 | ||||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
|
STEP 13: DIVIDE 513 : 89 = 5 with a remainder of 68 |
||||||
| 0 | 0 | 4 | 5 | |||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
|
STEP 14: MULTIPLY 5 · 89 = 445 |
||||||
| 0 | 0 | 4 | 5 | |||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| 4 | 4 | 5 | ||||
|
STEP 15: SUBTRACT 513 - 445 = 68 |
||||||
| 0 | 0 | 4 | 5 | |||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 4 | 5 | |||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | 1 | ||||
|
STEP 17: DIVIDE 681 : 89 = 7 with a remainder of 58 |
||||||
| 0 | 0 | 4 | 5 | 7 | ||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | 1 | ||||
|
STEP 18: MULTIPLY 7 · 89 = 623 |
||||||
| 0 | 0 | 4 | 5 | 7 | ||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | 1 | ||||
| 6 | 2 | 3 | ||||
|
STEP 19: SUBTRACT 681 - 623 = 58 |
||||||
| 0 | 0 | 4 | 5 | 7 | ||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | 1 | ||||
| – | 6 | 2 | 3 | |||
| 5 | 8 | |||||
|
STEP 19: SUBTRACT 681 - 623 = 58 |
||||||
| 0 | 0 | 4 | 5 | 7 | ||
| 8 | 9 | 4 | 0 | 7 | 3 | 1 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 7 | ||||
| – | 3 | 5 | 6 | |||
| 5 | 1 | 3 | ||||
| – | 4 | 4 | 5 | |||
| 6 | 8 | 1 | ||||
| – | 6 | 2 | 3 | |||
| 5 | 8 | |||||
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