Question
What is the quotient and remainder when $ 45 $ is divided by $ 3825 $ ?
Answer
The quotient is 0 and the remainder is 45.
Explanation
| Division Table | |||||
| 0 | 0 | ||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | ||||
|
STEP 0: set up a division table |
|||||
| 3 | 8 | 2 | 5 | 4 | 5 |
|
STEP 1: DIVIDE 4 : 3825 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 3 | 8 | 2 | 5 | 4 | 5 |
|
STEP 2: MULTIPLY 0 · 3825 = 0 |
|||||
| 0 | |||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | 5 | ||||
|
STEP 5: DIVIDE 45 : 3825 = 0 with a remainder of 45 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | 5 | ||||
|
STEP 6: MULTIPLY 0 · 3825 = 0 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | 5 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 45 - 0 = 45 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | ||||
|
STEP 7: SUBTRACT 45 - 0 = 45 |
|||||
| 0 | 0 | ||||
| 3 | 8 | 2 | 5 | 4 | 5 |
| – | 0 | ||||
| 4 | 5 | ||||
| – | 0 | ||||
| 4 | 5 | ||||
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