Question
What is the quotient and remainder when $ 7139 $ is divided by $ 31 $ ?
Answer
The quotient is 230 and the remainder is 9.
Explanation
| Division Table | |||||
| 0 | 2 | 3 | 0 | ||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 9 | |||||
| – | 0 | ||||
| 9 | |||||
|
STEP 0: set up a division table |
|||||
| 3 | 1 | 7 | 1 | 3 | 9 |
|
STEP 1: DIVIDE 7 : 31 = 0 with a remainder of 7 |
|||||
| 0 | |||||
| 3 | 1 | 7 | 1 | 3 | 9 |
|
STEP 2: MULTIPLY 0 · 31 = 0 |
|||||
| 0 | |||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| 0 | |||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||||
| 0 | |||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
|
STEP 5: DIVIDE 71 : 31 = 2 with a remainder of 9 |
|||||
| 0 | 2 | ||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
|
STEP 6: MULTIPLY 2 · 31 = 62 |
|||||
| 0 | 2 | ||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| 6 | 2 | ||||
|
STEP 7: SUBTRACT 71 - 62 = 9 |
|||||
| 0 | 2 | ||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 2 | ||||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
|
STEP 9: DIVIDE 93 : 31 = 3 with a remainder of 0 |
|||||
| 0 | 2 | 3 | |||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
|
STEP 10: MULTIPLY 3 · 31 = 93 |
|||||
| 0 | 2 | 3 | |||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| 9 | 3 | ||||
|
STEP 11: SUBTRACT 93 - 93 = 0 |
|||||
| 0 | 2 | 3 | |||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 0 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 2 | 3 | |||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 9 | |||||
|
STEP 13: DIVIDE 9 : 31 = 0 with a remainder of 9 |
|||||
| 0 | 2 | 3 | 0 | ||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 9 | |||||
|
STEP 14: MULTIPLY 0 · 31 = 0 |
|||||
| 0 | 2 | 3 | 0 | ||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 9 | |||||
| 0 | |||||
|
STEP 15: SUBTRACT 9 - 0 = 9 |
|||||
| 0 | 2 | 3 | 0 | ||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 9 | |||||
| – | 0 | ||||
| 9 | |||||
|
STEP 15: SUBTRACT 9 - 0 = 9 |
|||||
| 0 | 2 | 3 | 0 | ||
| 3 | 1 | 7 | 1 | 3 | 9 |
| – | 0 | ||||
| 7 | 1 | ||||
| – | 6 | 2 | |||
| 9 | 3 | ||||
| – | 9 | 3 | |||
| 9 | |||||
| – | 0 | ||||
| 9 | |||||
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