Question
What is the quotient and remainder when $ 386 $ is divided by $ 373 $ ?
Answer
The quotient is 1 and the remainder is 13.
Explanation
| Division Table | |||||
| 0 | 0 | 1 | |||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 6 | |||
| – | 3 | 7 | 3 | ||
| 1 | 3 | ||||
|
STEP 0: set up a division table |
|||||
| 3 | 7 | 3 | 3 | 8 | 6 |
|
STEP 1: DIVIDE 3 : 373 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 3 | 7 | 3 | 3 | 8 | 6 |
|
STEP 2: MULTIPLY 0 · 373 = 0 |
|||||
| 0 | |||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
|
STEP 5: DIVIDE 38 : 373 = 0 with a remainder of 38 |
|||||
| 0 | 0 | ||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
|
STEP 6: MULTIPLY 0 · 373 = 0 |
|||||
| 0 | 0 | ||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 38 - 0 = 38 |
|||||
| 0 | 0 | ||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 6 | |||
|
STEP 9: DIVIDE 386 : 373 = 1 with a remainder of 13 |
|||||
| 0 | 0 | 1 | |||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 6 | |||
|
STEP 10: MULTIPLY 1 · 373 = 373 |
|||||
| 0 | 0 | 1 | |||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 6 | |||
| 3 | 7 | 3 | |||
|
STEP 11: SUBTRACT 386 - 373 = 13 |
|||||
| 0 | 0 | 1 | |||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 6 | |||
| – | 3 | 7 | 3 | ||
| 1 | 3 | ||||
|
STEP 11: SUBTRACT 386 - 373 = 13 |
|||||
| 0 | 0 | 1 | |||
| 3 | 7 | 3 | 3 | 8 | 6 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 6 | |||
| – | 3 | 7 | 3 | ||
| 1 | 3 | ||||
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