Question
What is the quotient and remainder when $ 425 $ is divided by $ 17 $ ?
Answer
The quotient is 25 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 2 | 5 | ||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | 5 | |||
| – | 8 | 5 | ||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 7 | 4 | 2 | 5 |
|
STEP 1: DIVIDE 4 : 17 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 1 | 7 | 4 | 2 | 5 |
|
STEP 2: MULTIPLY 0 · 17 = 0 |
||||
| 0 | ||||
| 1 | 7 | 4 | 2 | 5 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
|
STEP 5: DIVIDE 42 : 17 = 2 with a remainder of 8 |
||||
| 0 | 2 | |||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
|
STEP 6: MULTIPLY 2 · 17 = 34 |
||||
| 0 | 2 | |||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| 3 | 4 | |||
|
STEP 7: SUBTRACT 42 - 34 = 8 |
||||
| 0 | 2 | |||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 2 | |||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | 5 | |||
|
STEP 9: DIVIDE 85 : 17 = 5 with a remainder of 0 |
||||
| 0 | 2 | 5 | ||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | 5 | |||
|
STEP 10: MULTIPLY 5 · 17 = 85 |
||||
| 0 | 2 | 5 | ||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | 5 | |||
| 8 | 5 | |||
|
STEP 11: SUBTRACT 85 - 85 = 0 |
||||
| 0 | 2 | 5 | ||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | 5 | |||
| – | 8 | 5 | ||
| 0 | ||||
|
STEP 11: SUBTRACT 85 - 85 = 0 |
||||
| 0 | 2 | 5 | ||
| 1 | 7 | 4 | 2 | 5 |
| – | 0 | |||
| 4 | 2 | |||
| – | 3 | 4 | ||
| 8 | 5 | |||
| – | 8 | 5 | ||
| 0 | ||||
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