Question
What is the quotient and remainder when $ 40 $ is divided by $ 17 $ ?
Answer
The quotient is 2 and the remainder is 6.
Explanation
| Division Table | |||
| 0 | 2 | ||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | 0 | ||
| – | 3 | 4 | |
| 6 | |||
|
STEP 0: set up a division table |
|||
| 1 | 7 | 4 | 0 |
|
STEP 1: DIVIDE 4 : 17 = 0 with a remainder of 4 |
|||
| 0 | |||
| 1 | 7 | 4 | 0 |
|
STEP 2: MULTIPLY 0 · 17 = 0 |
|||
| 0 | |||
| 1 | 7 | 4 | 0 |
| 0 | |||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
| 0 | |||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | 0 | ||
|
STEP 5: DIVIDE 40 : 17 = 2 with a remainder of 6 |
|||
| 0 | 2 | ||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | 0 | ||
|
STEP 6: MULTIPLY 2 · 17 = 34 |
|||
| 0 | 2 | ||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | 0 | ||
| 3 | 4 | ||
|
STEP 7: SUBTRACT 40 - 34 = 6 |
|||
| 0 | 2 | ||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | 0 | ||
| – | 3 | 4 | |
| 6 | |||
|
STEP 7: SUBTRACT 40 - 34 = 6 |
|||
| 0 | 2 | ||
| 1 | 7 | 4 | 0 |
| – | 0 | ||
| 4 | 0 | ||
| – | 3 | 4 | |
| 6 | |||
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