Question
What is the quotient and remainder when $ 112 $ is divided by $ 31 $ ?
Answer
The quotient is 3 and the remainder is 19.
Explanation
| Division Table | ||||
| 0 | 0 | 3 | ||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | 2 | ||
| – | 9 | 3 | ||
| 1 | 9 | |||
|
STEP 0: set up a division table |
||||
| 3 | 1 | 1 | 1 | 2 |
|
STEP 1: DIVIDE 1 : 31 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 3 | 1 | 1 | 1 | 2 |
|
STEP 2: MULTIPLY 0 · 31 = 0 |
||||
| 0 | ||||
| 3 | 1 | 1 | 1 | 2 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
|
STEP 5: DIVIDE 11 : 31 = 0 with a remainder of 11 |
||||
| 0 | 0 | |||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
|
STEP 6: MULTIPLY 0 · 31 = 0 |
||||
| 0 | 0 | |||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 11 - 0 = 11 |
||||
| 0 | 0 | |||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | 2 | ||
|
STEP 9: DIVIDE 112 : 31 = 3 with a remainder of 19 |
||||
| 0 | 0 | 3 | ||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | 2 | ||
|
STEP 10: MULTIPLY 3 · 31 = 93 |
||||
| 0 | 0 | 3 | ||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | 2 | ||
| 9 | 3 | |||
|
STEP 11: SUBTRACT 112 - 93 = 19 |
||||
| 0 | 0 | 3 | ||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | 2 | ||
| – | 9 | 3 | ||
| 1 | 9 | |||
|
STEP 11: SUBTRACT 112 - 93 = 19 |
||||
| 0 | 0 | 3 | ||
| 3 | 1 | 1 | 1 | 2 |
| – | 0 | |||
| 1 | 1 | |||
| – | 0 | |||
| 1 | 1 | 2 | ||
| – | 9 | 3 | ||
| 1 | 9 | |||
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