Question
What is the quotient and remainder when $ 944 $ is divided by $ 118 $ ?
Answer
The quotient is 8 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 8 | |||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | 4 | |||
| – | 9 | 4 | 4 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 1 | 8 | 9 | 4 | 4 |
|
STEP 1: DIVIDE 9 : 118 = 0 with a remainder of 9 |
|||||
| 0 | |||||
| 1 | 1 | 8 | 9 | 4 | 4 |
|
STEP 2: MULTIPLY 0 · 118 = 0 |
|||||
| 0 | |||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
|||||
| 0 | |||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
|
STEP 5: DIVIDE 94 : 118 = 0 with a remainder of 94 |
|||||
| 0 | 0 | ||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 118 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 94 - 0 = 94 |
|||||
| 0 | 0 | ||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | 4 | |||
|
STEP 9: DIVIDE 944 : 118 = 8 with a remainder of 0 |
|||||
| 0 | 0 | 8 | |||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | 4 | |||
|
STEP 10: MULTIPLY 8 · 118 = 944 |
|||||
| 0 | 0 | 8 | |||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | 4 | |||
| 9 | 4 | 4 | |||
|
STEP 11: SUBTRACT 944 - 944 = 0 |
|||||
| 0 | 0 | 8 | |||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | 4 | |||
| – | 9 | 4 | 4 | ||
| 0 | |||||
|
STEP 11: SUBTRACT 944 - 944 = 0 |
|||||
| 0 | 0 | 8 | |||
| 1 | 1 | 8 | 9 | 4 | 4 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 0 | ||||
| 9 | 4 | 4 | |||
| – | 9 | 4 | 4 | ||
| 0 | |||||
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