Question
What is the quotient and remainder when $ 373 $ is divided by $ 386 $ ?
Answer
The quotient is 0 and the remainder is 373.
Explanation
| Division Table | |||||
| 0 | 0 | 0 | |||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | 3 | |||
| – | 0 | ||||
| 3 | 7 | 3 | |||
|
STEP 0: set up a division table |
|||||
| 3 | 8 | 6 | 3 | 7 | 3 |
|
STEP 1: DIVIDE 3 : 386 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 3 | 8 | 6 | 3 | 7 | 3 |
|
STEP 2: MULTIPLY 0 · 386 = 0 |
|||||
| 0 | |||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
|
STEP 5: DIVIDE 37 : 386 = 0 with a remainder of 37 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
|
STEP 6: MULTIPLY 0 · 386 = 0 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 37 - 0 = 37 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | 3 | |||
|
STEP 9: DIVIDE 373 : 386 = 0 with a remainder of 373 |
|||||
| 0 | 0 | 0 | |||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | 3 | |||
|
STEP 10: MULTIPLY 0 · 386 = 0 |
|||||
| 0 | 0 | 0 | |||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | 3 | |||
| 0 | |||||
|
STEP 11: SUBTRACT 373 - 0 = 373 |
|||||
| 0 | 0 | 0 | |||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | 3 | |||
| – | 0 | ||||
| 3 | 7 | 3 | |||
|
STEP 11: SUBTRACT 373 - 0 = 373 |
|||||
| 0 | 0 | 0 | |||
| 3 | 8 | 6 | 3 | 7 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 0 | ||||
| 3 | 7 | 3 | |||
| – | 0 | ||||
| 3 | 7 | 3 | |||
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