Question
What is the quotient and remainder when $ 3783 $ is divided by $ 15 $ ?
Answer
The quotient is 252 and the remainder is 3.
Explanation
| Division Table | |||||
| 0 | 2 | 5 | 2 | ||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 3 | ||||
| – | 3 | 0 | |||
| 3 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 5 | 3 | 7 | 8 | 3 |
|
STEP 1: DIVIDE 3 : 15 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 1 | 5 | 3 | 7 | 8 | 3 |
|
STEP 2: MULTIPLY 0 · 15 = 0 |
|||||
| 0 | |||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
|
STEP 5: DIVIDE 37 : 15 = 2 with a remainder of 7 |
|||||
| 0 | 2 | ||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
|
STEP 6: MULTIPLY 2 · 15 = 30 |
|||||
| 0 | 2 | ||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| 3 | 0 | ||||
|
STEP 7: SUBTRACT 37 - 30 = 7 |
|||||
| 0 | 2 | ||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 2 | ||||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
|
STEP 9: DIVIDE 78 : 15 = 5 with a remainder of 3 |
|||||
| 0 | 2 | 5 | |||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
|
STEP 10: MULTIPLY 5 · 15 = 75 |
|||||
| 0 | 2 | 5 | |||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| 7 | 5 | ||||
|
STEP 11: SUBTRACT 78 - 75 = 3 |
|||||
| 0 | 2 | 5 | |||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 2 | 5 | |||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 3 | ||||
|
STEP 13: DIVIDE 33 : 15 = 2 with a remainder of 3 |
|||||
| 0 | 2 | 5 | 2 | ||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 3 | ||||
|
STEP 14: MULTIPLY 2 · 15 = 30 |
|||||
| 0 | 2 | 5 | 2 | ||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 3 | ||||
| 3 | 0 | ||||
|
STEP 15: SUBTRACT 33 - 30 = 3 |
|||||
| 0 | 2 | 5 | 2 | ||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 3 | ||||
| – | 3 | 0 | |||
| 3 | |||||
|
STEP 15: SUBTRACT 33 - 30 = 3 |
|||||
| 0 | 2 | 5 | 2 | ||
| 1 | 5 | 3 | 7 | 8 | 3 |
| – | 0 | ||||
| 3 | 7 | ||||
| – | 3 | 0 | |||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 3 | ||||
| – | 3 | 0 | |||
| 3 | |||||
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