Question
What is the quotient and remainder when $ 504 $ is divided by $ 42 $ ?
Answer
The quotient is 12 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 1 | 2 | ||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 4 | 2 | 5 | 0 | 4 |
|
STEP 1: DIVIDE 5 : 42 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 4 | 2 | 5 | 0 | 4 |
|
STEP 2: MULTIPLY 0 · 42 = 0 |
||||
| 0 | ||||
| 4 | 2 | 5 | 0 | 4 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
|
STEP 5: DIVIDE 50 : 42 = 1 with a remainder of 8 |
||||
| 0 | 1 | |||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
|
STEP 6: MULTIPLY 1 · 42 = 42 |
||||
| 0 | 1 | |||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| 4 | 2 | |||
|
STEP 7: SUBTRACT 50 - 42 = 8 |
||||
| 0 | 1 | |||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | 4 | |||
|
STEP 9: DIVIDE 84 : 42 = 2 with a remainder of 0 |
||||
| 0 | 1 | 2 | ||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | 4 | |||
|
STEP 10: MULTIPLY 2 · 42 = 84 |
||||
| 0 | 1 | 2 | ||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | 4 | |||
| 8 | 4 | |||
|
STEP 11: SUBTRACT 84 - 84 = 0 |
||||
| 0 | 1 | 2 | ||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
|
STEP 11: SUBTRACT 84 - 84 = 0 |
||||
| 0 | 1 | 2 | ||
| 4 | 2 | 5 | 0 | 4 |
| – | 0 | |||
| 5 | 0 | |||
| – | 4 | 2 | ||
| 8 | 4 | |||
| – | 8 | 4 | ||
| 0 | ||||
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