Question
What is the quotient and remainder when $ 582 $ is divided by $ 100 $ ?
Answer
The quotient is 5 and the remainder is 82.
Explanation
| Division Table | |||||
| 0 | 0 | 5 | |||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | 2 | |||
| – | 5 | 0 | 0 | ||
| 8 | 2 | ||||
|
STEP 0: set up a division table |
|||||
| 1 | 0 | 0 | 5 | 8 | 2 |
|
STEP 1: DIVIDE 5 : 100 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 1 | 0 | 0 | 5 | 8 | 2 |
|
STEP 2: MULTIPLY 0 · 100 = 0 |
|||||
| 0 | |||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
|
STEP 5: DIVIDE 58 : 100 = 0 with a remainder of 58 |
|||||
| 0 | 0 | ||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
|
STEP 6: MULTIPLY 0 · 100 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 58 - 0 = 58 |
|||||
| 0 | 0 | ||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | 2 | |||
|
STEP 9: DIVIDE 582 : 100 = 5 with a remainder of 82 |
|||||
| 0 | 0 | 5 | |||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | 2 | |||
|
STEP 10: MULTIPLY 5 · 100 = 500 |
|||||
| 0 | 0 | 5 | |||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | 2 | |||
| 5 | 0 | 0 | |||
|
STEP 11: SUBTRACT 582 - 500 = 82 |
|||||
| 0 | 0 | 5 | |||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | 2 | |||
| – | 5 | 0 | 0 | ||
| 8 | 2 | ||||
|
STEP 11: SUBTRACT 582 - 500 = 82 |
|||||
| 0 | 0 | 5 | |||
| 1 | 0 | 0 | 5 | 8 | 2 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 0 | ||||
| 5 | 8 | 2 | |||
| – | 5 | 0 | 0 | ||
| 8 | 2 | ||||
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