Question
What is the quotient and remainder when $ 314 $ is divided by $ 37 $ ?
Answer
The quotient is 8 and the remainder is 18.
Explanation
| Division Table | ||||
| 0 | 0 | 8 | ||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | 4 | ||
| – | 2 | 9 | 6 | |
| 1 | 8 | |||
|
STEP 0: set up a division table |
||||
| 3 | 7 | 3 | 1 | 4 |
|
STEP 1: DIVIDE 3 : 37 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 3 | 7 | 3 | 1 | 4 |
|
STEP 2: MULTIPLY 0 · 37 = 0 |
||||
| 0 | ||||
| 3 | 7 | 3 | 1 | 4 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
|
STEP 5: DIVIDE 31 : 37 = 0 with a remainder of 31 |
||||
| 0 | 0 | |||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
|
STEP 6: MULTIPLY 0 · 37 = 0 |
||||
| 0 | 0 | |||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 31 - 0 = 31 |
||||
| 0 | 0 | |||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | 4 | ||
|
STEP 9: DIVIDE 314 : 37 = 8 with a remainder of 18 |
||||
| 0 | 0 | 8 | ||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | 4 | ||
|
STEP 10: MULTIPLY 8 · 37 = 296 |
||||
| 0 | 0 | 8 | ||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | 4 | ||
| 2 | 9 | 6 | ||
|
STEP 11: SUBTRACT 314 - 296 = 18 |
||||
| 0 | 0 | 8 | ||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | 4 | ||
| – | 2 | 9 | 6 | |
| 1 | 8 | |||
|
STEP 11: SUBTRACT 314 - 296 = 18 |
||||
| 0 | 0 | 8 | ||
| 3 | 7 | 3 | 1 | 4 |
| – | 0 | |||
| 3 | 1 | |||
| – | 0 | |||
| 3 | 1 | 4 | ||
| – | 2 | 9 | 6 | |
| 1 | 8 | |||
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