Question
What is the quotient and remainder when $ 919 $ is divided by $ 17 $ ?
Answer
The quotient is 54 and the remainder is 1.
Explanation
| Division Table | ||||
| 0 | 5 | 4 | ||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | 9 | |||
| – | 6 | 8 | ||
| 1 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 7 | 9 | 1 | 9 |
|
STEP 1: DIVIDE 9 : 17 = 0 with a remainder of 9 |
||||
| 0 | ||||
| 1 | 7 | 9 | 1 | 9 |
|
STEP 2: MULTIPLY 0 · 17 = 0 |
||||
| 0 | ||||
| 1 | 7 | 9 | 1 | 9 |
| 0 | ||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
||||
| 0 | ||||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
|
STEP 5: DIVIDE 91 : 17 = 5 with a remainder of 6 |
||||
| 0 | 5 | |||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
|
STEP 6: MULTIPLY 5 · 17 = 85 |
||||
| 0 | 5 | |||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| 8 | 5 | |||
|
STEP 7: SUBTRACT 91 - 85 = 6 |
||||
| 0 | 5 | |||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 5 | |||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | 9 | |||
|
STEP 9: DIVIDE 69 : 17 = 4 with a remainder of 1 |
||||
| 0 | 5 | 4 | ||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | 9 | |||
|
STEP 10: MULTIPLY 4 · 17 = 68 |
||||
| 0 | 5 | 4 | ||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | 9 | |||
| 6 | 8 | |||
|
STEP 11: SUBTRACT 69 - 68 = 1 |
||||
| 0 | 5 | 4 | ||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | 9 | |||
| – | 6 | 8 | ||
| 1 | ||||
|
STEP 11: SUBTRACT 69 - 68 = 1 |
||||
| 0 | 5 | 4 | ||
| 1 | 7 | 9 | 1 | 9 |
| – | 0 | |||
| 9 | 1 | |||
| – | 8 | 5 | ||
| 6 | 9 | |||
| – | 6 | 8 | ||
| 1 | ||||
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