What is the quotient and remainder when $ 31 $ is divided by $ 41 $ ?
Answer
The quotient is 0 and the remainder is 31.
Explanation
| Division Table | |||
| 0 | 0 | ||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | 1 | ||
| – | 0 | ||
| 3 | 1 | ||
|
STEP 0: set up a division table |
|||
| 4 | 1 | 3 | 1 |
|
STEP 1: DIVIDE 3 : 41 = 0 with a remainder of 3 |
|||
| 0 | |||
| 4 | 1 | 3 | 1 |
|
STEP 2: MULTIPLY 0 · 41 = 0 |
|||
| 0 | |||
| 4 | 1 | 3 | 1 |
| 0 | |||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||
| 0 | |||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | 1 | ||
|
STEP 5: DIVIDE 31 : 41 = 0 with a remainder of 31 |
|||
| 0 | 0 | ||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | 1 | ||
|
STEP 6: MULTIPLY 0 · 41 = 0 |
|||
| 0 | 0 | ||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | 1 | ||
| 0 | |||
|
STEP 7: SUBTRACT 31 - 0 = 31 |
|||
| 0 | 0 | ||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | 1 | ||
| – | 0 | ||
| 3 | 1 | ||
|
STEP 7: SUBTRACT 31 - 0 = 31 |
|||
| 0 | 0 | ||
| 4 | 1 | 3 | 1 |
| – | 0 | ||
| 3 | 1 | ||
| – | 0 | ||
| 3 | 1 | ||
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