Question
What is the quotient and remainder when $ 562 $ is divided by $ 17 $ ?
Answer
The quotient is 33 and the remainder is 1.
Explanation
| Division Table | ||||
| 0 | 3 | 3 | ||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | 2 | |||
| – | 5 | 1 | ||
| 1 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 7 | 5 | 6 | 2 |
|
STEP 1: DIVIDE 5 : 17 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 1 | 7 | 5 | 6 | 2 |
|
STEP 2: MULTIPLY 0 · 17 = 0 |
||||
| 0 | ||||
| 1 | 7 | 5 | 6 | 2 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
|
STEP 5: DIVIDE 56 : 17 = 3 with a remainder of 5 |
||||
| 0 | 3 | |||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
|
STEP 6: MULTIPLY 3 · 17 = 51 |
||||
| 0 | 3 | |||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| 5 | 1 | |||
|
STEP 7: SUBTRACT 56 - 51 = 5 |
||||
| 0 | 3 | |||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | 2 | |||
|
STEP 9: DIVIDE 52 : 17 = 3 with a remainder of 1 |
||||
| 0 | 3 | 3 | ||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | 2 | |||
|
STEP 10: MULTIPLY 3 · 17 = 51 |
||||
| 0 | 3 | 3 | ||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | 2 | |||
| 5 | 1 | |||
|
STEP 11: SUBTRACT 52 - 51 = 1 |
||||
| 0 | 3 | 3 | ||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | 2 | |||
| – | 5 | 1 | ||
| 1 | ||||
|
STEP 11: SUBTRACT 52 - 51 = 1 |
||||
| 0 | 3 | 3 | ||
| 1 | 7 | 5 | 6 | 2 |
| – | 0 | |||
| 5 | 6 | |||
| – | 5 | 1 | ||
| 5 | 2 | |||
| – | 5 | 1 | ||
| 1 | ||||
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