Question
What is the quotient and remainder when $ 3825 $ is divided by $ 45 $ ?
Answer
The quotient is 85 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 8 | 5 | ||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | 5 | |||
| – | 2 | 2 | 5 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 4 | 5 | 3 | 8 | 2 | 5 |
|
STEP 1: DIVIDE 3 : 45 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 4 | 5 | 3 | 8 | 2 | 5 |
|
STEP 2: MULTIPLY 0 · 45 = 0 |
|||||
| 0 | |||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
|
STEP 5: DIVIDE 38 : 45 = 0 with a remainder of 38 |
|||||
| 0 | 0 | ||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
|
STEP 6: MULTIPLY 0 · 45 = 0 |
|||||
| 0 | 0 | ||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 38 - 0 = 38 |
|||||
| 0 | 0 | ||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
|
STEP 9: DIVIDE 382 : 45 = 8 with a remainder of 22 |
|||||
| 0 | 0 | 8 | |||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
|
STEP 10: MULTIPLY 8 · 45 = 360 |
|||||
| 0 | 0 | 8 | |||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| 3 | 6 | 0 | |||
|
STEP 11: SUBTRACT 382 - 360 = 22 |
|||||
| 0 | 0 | 8 | |||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 8 | |||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | 5 | |||
|
STEP 13: DIVIDE 225 : 45 = 5 with a remainder of 0 |
|||||
| 0 | 0 | 8 | 5 | ||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | 5 | |||
|
STEP 14: MULTIPLY 5 · 45 = 225 |
|||||
| 0 | 0 | 8 | 5 | ||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | 5 | |||
| 2 | 2 | 5 | |||
|
STEP 15: SUBTRACT 225 - 225 = 0 |
|||||
| 0 | 0 | 8 | 5 | ||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | 5 | |||
| – | 2 | 2 | 5 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 225 - 225 = 0 |
|||||
| 0 | 0 | 8 | 5 | ||
| 4 | 5 | 3 | 8 | 2 | 5 |
| – | 0 | ||||
| 3 | 8 | ||||
| – | 0 | ||||
| 3 | 8 | 2 | |||
| – | 3 | 6 | 0 | ||
| 2 | 2 | 5 | |||
| – | 2 | 2 | 5 | ||
| 0 | |||||
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