Question
What is the quotient and remainder when $ 684 $ is divided by $ 171 $ ?
Answer
The quotient is 4 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 4 | |||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | 4 | |||
| – | 6 | 8 | 4 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 7 | 1 | 6 | 8 | 4 |
|
STEP 1: DIVIDE 6 : 171 = 0 with a remainder of 6 |
|||||
| 0 | |||||
| 1 | 7 | 1 | 6 | 8 | 4 |
|
STEP 2: MULTIPLY 0 · 171 = 0 |
|||||
| 0 | |||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
|||||
| 0 | |||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
|
STEP 5: DIVIDE 68 : 171 = 0 with a remainder of 68 |
|||||
| 0 | 0 | ||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
|
STEP 6: MULTIPLY 0 · 171 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 68 - 0 = 68 |
|||||
| 0 | 0 | ||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | 4 | |||
|
STEP 9: DIVIDE 684 : 171 = 4 with a remainder of 0 |
|||||
| 0 | 0 | 4 | |||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | 4 | |||
|
STEP 10: MULTIPLY 4 · 171 = 684 |
|||||
| 0 | 0 | 4 | |||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | 4 | |||
| 6 | 8 | 4 | |||
|
STEP 11: SUBTRACT 684 - 684 = 0 |
|||||
| 0 | 0 | 4 | |||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | 4 | |||
| – | 6 | 8 | 4 | ||
| 0 | |||||
|
STEP 11: SUBTRACT 684 - 684 = 0 |
|||||
| 0 | 0 | 4 | |||
| 1 | 7 | 1 | 6 | 8 | 4 |
| – | 0 | ||||
| 6 | 8 | ||||
| – | 0 | ||||
| 6 | 8 | 4 | |||
| – | 6 | 8 | 4 | ||
| 0 | |||||
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