Question
What is the quotient and remainder when $ 1530 $ is divided by $ 15 $ ?
Answer
The quotient is 102 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 1 | 0 | 2 | ||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 5 | 1 | 5 | 3 | 0 |
|
STEP 1: DIVIDE 1 : 15 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 1 | 5 | 1 | 5 | 3 | 0 |
|
STEP 2: MULTIPLY 0 · 15 = 0 |
|||||
| 0 | |||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
|
STEP 5: DIVIDE 15 : 15 = 1 with a remainder of 0 |
|||||
| 0 | 1 | ||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
|
STEP 6: MULTIPLY 1 · 15 = 15 |
|||||
| 0 | 1 | ||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| 1 | 5 | ||||
|
STEP 7: SUBTRACT 15 - 15 = 0 |
|||||
| 0 | 1 | ||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 0 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
|
STEP 9: DIVIDE 3 : 15 = 0 with a remainder of 3 |
|||||
| 0 | 1 | 0 | |||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
|
STEP 10: MULTIPLY 0 · 15 = 0 |
|||||
| 0 | 1 | 0 | |||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| 0 | |||||
|
STEP 11: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | 1 | 0 | |||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 0 | |||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 0 | ||||
|
STEP 13: DIVIDE 30 : 15 = 2 with a remainder of 0 |
|||||
| 0 | 1 | 0 | 2 | ||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 0 | ||||
|
STEP 14: MULTIPLY 2 · 15 = 30 |
|||||
| 0 | 1 | 0 | 2 | ||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 0 | ||||
| 3 | 0 | ||||
|
STEP 15: SUBTRACT 30 - 30 = 0 |
|||||
| 0 | 1 | 0 | 2 | ||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 0 | |||||
|
STEP 15: SUBTRACT 30 - 30 = 0 |
|||||
| 0 | 1 | 0 | 2 | ||
| 1 | 5 | 1 | 5 | 3 | 0 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 1 | 5 | |||
| 3 | |||||
| – | 0 | ||||
| 3 | 0 | ||||
| – | 3 | 0 | |||
| 0 | |||||
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