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