Question
What is the quotient and remainder when $ 434 $ is divided by $ 31 $ ?
Answer
The quotient is 14 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 1 | 4 | ||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | 4 | ||
| – | 1 | 2 | 4 | |
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 3 | 1 | 4 | 3 | 4 |
|
STEP 1: DIVIDE 4 : 31 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 3 | 1 | 4 | 3 | 4 |
|
STEP 2: MULTIPLY 0 · 31 = 0 |
||||
| 0 | ||||
| 3 | 1 | 4 | 3 | 4 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
|
STEP 5: DIVIDE 43 : 31 = 1 with a remainder of 12 |
||||
| 0 | 1 | |||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
|
STEP 6: MULTIPLY 1 · 31 = 31 |
||||
| 0 | 1 | |||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| 3 | 1 | |||
|
STEP 7: SUBTRACT 43 - 31 = 12 |
||||
| 0 | 1 | |||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | 4 | ||
|
STEP 9: DIVIDE 124 : 31 = 4 with a remainder of 0 |
||||
| 0 | 1 | 4 | ||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | 4 | ||
|
STEP 10: MULTIPLY 4 · 31 = 124 |
||||
| 0 | 1 | 4 | ||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | 4 | ||
| 1 | 2 | 4 | ||
|
STEP 11: SUBTRACT 124 - 124 = 0 |
||||
| 0 | 1 | 4 | ||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | 4 | ||
| – | 1 | 2 | 4 | |
| 0 | ||||
|
STEP 11: SUBTRACT 124 - 124 = 0 |
||||
| 0 | 1 | 4 | ||
| 3 | 1 | 4 | 3 | 4 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 1 | ||
| 1 | 2 | 4 | ||
| – | 1 | 2 | 4 | |
| 0 | ||||
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