Question
What is the quotient and remainder when $ 4537 $ is divided by $ 93 $ ?
Answer
The quotient is 48 and the remainder is 73.
Explanation
| Division Table | |||||
| 0 | 0 | 4 | 8 | ||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | 7 | |||
| – | 7 | 4 | 4 | ||
| 7 | 3 | ||||
|
STEP 0: set up a division table |
|||||
| 9 | 3 | 4 | 5 | 3 | 7 |
|
STEP 1: DIVIDE 4 : 93 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 9 | 3 | 4 | 5 | 3 | 7 |
|
STEP 2: MULTIPLY 0 · 93 = 0 |
|||||
| 0 | |||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
|
STEP 5: DIVIDE 45 : 93 = 0 with a remainder of 45 |
|||||
| 0 | 0 | ||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
|
STEP 6: MULTIPLY 0 · 93 = 0 |
|||||
| 0 | 0 | ||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 45 - 0 = 45 |
|||||
| 0 | 0 | ||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
|
STEP 9: DIVIDE 453 : 93 = 4 with a remainder of 81 |
|||||
| 0 | 0 | 4 | |||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
|
STEP 10: MULTIPLY 4 · 93 = 372 |
|||||
| 0 | 0 | 4 | |||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| 3 | 7 | 2 | |||
|
STEP 11: SUBTRACT 453 - 372 = 81 |
|||||
| 0 | 0 | 4 | |||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 4 | |||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | 7 | |||
|
STEP 13: DIVIDE 817 : 93 = 8 with a remainder of 73 |
|||||
| 0 | 0 | 4 | 8 | ||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | 7 | |||
|
STEP 14: MULTIPLY 8 · 93 = 744 |
|||||
| 0 | 0 | 4 | 8 | ||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | 7 | |||
| 7 | 4 | 4 | |||
|
STEP 15: SUBTRACT 817 - 744 = 73 |
|||||
| 0 | 0 | 4 | 8 | ||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | 7 | |||
| – | 7 | 4 | 4 | ||
| 7 | 3 | ||||
|
STEP 15: SUBTRACT 817 - 744 = 73 |
|||||
| 0 | 0 | 4 | 8 | ||
| 9 | 3 | 4 | 5 | 3 | 7 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | 3 | |||
| – | 3 | 7 | 2 | ||
| 8 | 1 | 7 | |||
| – | 7 | 4 | 4 | ||
| 7 | 3 | ||||
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