Question
What is the quotient and remainder when $ 893 $ is divided by $ 19 $ ?
Answer
The quotient is 47 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 4 | 7 | ||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | 3 | ||
| – | 1 | 3 | 3 | |
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 9 | 8 | 9 | 3 |
|
STEP 1: DIVIDE 8 : 19 = 0 with a remainder of 8 |
||||
| 0 | ||||
| 1 | 9 | 8 | 9 | 3 |
|
STEP 2: MULTIPLY 0 · 19 = 0 |
||||
| 0 | ||||
| 1 | 9 | 8 | 9 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||
| 0 | ||||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
|
STEP 5: DIVIDE 89 : 19 = 4 with a remainder of 13 |
||||
| 0 | 4 | |||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
|
STEP 6: MULTIPLY 4 · 19 = 76 |
||||
| 0 | 4 | |||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| 7 | 6 | |||
|
STEP 7: SUBTRACT 89 - 76 = 13 |
||||
| 0 | 4 | |||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 4 | |||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | 3 | ||
|
STEP 9: DIVIDE 133 : 19 = 7 with a remainder of 0 |
||||
| 0 | 4 | 7 | ||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | 3 | ||
|
STEP 10: MULTIPLY 7 · 19 = 133 |
||||
| 0 | 4 | 7 | ||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | 3 | ||
| 1 | 3 | 3 | ||
|
STEP 11: SUBTRACT 133 - 133 = 0 |
||||
| 0 | 4 | 7 | ||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | 3 | ||
| – | 1 | 3 | 3 | |
| 0 | ||||
|
STEP 11: SUBTRACT 133 - 133 = 0 |
||||
| 0 | 4 | 7 | ||
| 1 | 9 | 8 | 9 | 3 |
| – | 0 | |||
| 8 | 9 | |||
| – | 7 | 6 | ||
| 1 | 3 | 3 | ||
| – | 1 | 3 | 3 | |
| 0 | ||||
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