Question
What is the quotient and remainder when $ 414 $ is divided by $ 920 $ ?
Answer
The quotient is 0 and the remainder is 414.
Explanation
| Division Table | |||||
| 0 | 0 | 0 | |||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | 4 | |||
| – | 0 | ||||
| 4 | 1 | 4 | |||
|
STEP 0: set up a division table |
|||||
| 9 | 2 | 0 | 4 | 1 | 4 |
|
STEP 1: DIVIDE 4 : 920 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 9 | 2 | 0 | 4 | 1 | 4 |
|
STEP 2: MULTIPLY 0 · 920 = 0 |
|||||
| 0 | |||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
|
STEP 5: DIVIDE 41 : 920 = 0 with a remainder of 41 |
|||||
| 0 | 0 | ||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
|
STEP 6: MULTIPLY 0 · 920 = 0 |
|||||
| 0 | 0 | ||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 41 - 0 = 41 |
|||||
| 0 | 0 | ||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | 4 | |||
|
STEP 9: DIVIDE 414 : 920 = 0 with a remainder of 414 |
|||||
| 0 | 0 | 0 | |||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | 4 | |||
|
STEP 10: MULTIPLY 0 · 920 = 0 |
|||||
| 0 | 0 | 0 | |||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | 4 | |||
| 0 | |||||
|
STEP 11: SUBTRACT 414 - 0 = 414 |
|||||
| 0 | 0 | 0 | |||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | 4 | |||
| – | 0 | ||||
| 4 | 1 | 4 | |||
|
STEP 11: SUBTRACT 414 - 0 = 414 |
|||||
| 0 | 0 | 0 | |||
| 9 | 2 | 0 | 4 | 1 | 4 |
| – | 0 | ||||
| 4 | 1 | ||||
| – | 0 | ||||
| 4 | 1 | 4 | |||
| – | 0 | ||||
| 4 | 1 | 4 | |||
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