Question
What is the quotient and remainder when $ 1482 $ is divided by $ 19 $ ?
Answer
The quotient is 78 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 7 | 8 | ||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | 2 | |||
| – | 1 | 5 | 2 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 1 | 9 | 1 | 4 | 8 | 2 |
|
STEP 1: DIVIDE 1 : 19 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 1 | 9 | 1 | 4 | 8 | 2 |
|
STEP 2: MULTIPLY 0 · 19 = 0 |
|||||
| 0 | |||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 5: DIVIDE 14 : 19 = 0 with a remainder of 14 |
|||||
| 0 | 0 | ||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 19 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 14 - 0 = 14 |
|||||
| 0 | 0 | ||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
|
STEP 9: DIVIDE 148 : 19 = 7 with a remainder of 15 |
|||||
| 0 | 0 | 7 | |||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
|
STEP 10: MULTIPLY 7 · 19 = 133 |
|||||
| 0 | 0 | 7 | |||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| 1 | 3 | 3 | |||
|
STEP 11: SUBTRACT 148 - 133 = 15 |
|||||
| 0 | 0 | 7 | |||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 7 | |||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | 2 | |||
|
STEP 13: DIVIDE 152 : 19 = 8 with a remainder of 0 |
|||||
| 0 | 0 | 7 | 8 | ||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | 2 | |||
|
STEP 14: MULTIPLY 8 · 19 = 152 |
|||||
| 0 | 0 | 7 | 8 | ||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | 2 | |||
| 1 | 5 | 2 | |||
|
STEP 15: SUBTRACT 152 - 152 = 0 |
|||||
| 0 | 0 | 7 | 8 | ||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | 2 | |||
| – | 1 | 5 | 2 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 152 - 152 = 0 |
|||||
| 0 | 0 | 7 | 8 | ||
| 1 | 9 | 1 | 4 | 8 | 2 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 8 | |||
| – | 1 | 3 | 3 | ||
| 1 | 5 | 2 | |||
| – | 1 | 5 | 2 | ||
| 0 | |||||
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