Question
What is the quotient and remainder when $ 328 $ is divided by $ 108 $ ?
Answer
The quotient is 3 and the remainder is 4.
Explanation
| Division Table | |||||
| 0 | 0 | 3 | |||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | 8 | |||
| – | 3 | 2 | 4 | ||
| 4 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 0 | 8 | 3 | 2 | 8 |
|
STEP 1: DIVIDE 3 : 108 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 1 | 0 | 8 | 3 | 2 | 8 |
|
STEP 2: MULTIPLY 0 · 108 = 0 |
|||||
| 0 | |||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
|
STEP 5: DIVIDE 32 : 108 = 0 with a remainder of 32 |
|||||
| 0 | 0 | ||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
|
STEP 6: MULTIPLY 0 · 108 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 32 - 0 = 32 |
|||||
| 0 | 0 | ||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | 8 | |||
|
STEP 9: DIVIDE 328 : 108 = 3 with a remainder of 4 |
|||||
| 0 | 0 | 3 | |||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | 8 | |||
|
STEP 10: MULTIPLY 3 · 108 = 324 |
|||||
| 0 | 0 | 3 | |||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | 8 | |||
| 3 | 2 | 4 | |||
|
STEP 11: SUBTRACT 328 - 324 = 4 |
|||||
| 0 | 0 | 3 | |||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | 8 | |||
| – | 3 | 2 | 4 | ||
| 4 | |||||
|
STEP 11: SUBTRACT 328 - 324 = 4 |
|||||
| 0 | 0 | 3 | |||
| 1 | 0 | 8 | 3 | 2 | 8 |
| – | 0 | ||||
| 3 | 2 | ||||
| – | 0 | ||||
| 3 | 2 | 8 | |||
| – | 3 | 2 | 4 | ||
| 4 | |||||
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