What is the quotient and remainder when $ 816 $ is divided by $ 136 $ ?
Answer
The quotient is 6 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 6 | |||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | 6 | |||
| – | 8 | 1 | 6 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 3 | 6 | 8 | 1 | 6 |
|
STEP 1: DIVIDE 8 : 136 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 1 | 3 | 6 | 8 | 1 | 6 |
|
STEP 2: MULTIPLY 0 · 136 = 0 |
|||||
| 0 | |||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
|
STEP 5: DIVIDE 81 : 136 = 0 with a remainder of 81 |
|||||
| 0 | 0 | ||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
|
STEP 6: MULTIPLY 0 · 136 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 81 - 0 = 81 |
|||||
| 0 | 0 | ||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | 6 | |||
|
STEP 9: DIVIDE 816 : 136 = 6 with a remainder of 0 |
|||||
| 0 | 0 | 6 | |||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | 6 | |||
|
STEP 10: MULTIPLY 6 · 136 = 816 |
|||||
| 0 | 0 | 6 | |||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | 6 | |||
| 8 | 1 | 6 | |||
|
STEP 11: SUBTRACT 816 - 816 = 0 |
|||||
| 0 | 0 | 6 | |||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | 6 | |||
| – | 8 | 1 | 6 | ||
| 0 | |||||
|
STEP 11: SUBTRACT 816 - 816 = 0 |
|||||
| 0 | 0 | 6 | |||
| 1 | 3 | 6 | 8 | 1 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 0 | ||||
| 8 | 1 | 6 | |||
| – | 8 | 1 | 6 | ||
| 0 | |||||
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