Question
What is the quotient and remainder when $ 17 $ is divided by $ 8 $ ?
Answer
The quotient is 2 and the remainder is 1.
Explanation
| Division Table | ||
| 0 | 2 | |
| 8 | 1 | 7 |
| – | 0 | |
| 1 | 7 | |
| – | 1 | 6 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 8 | 1 | 7 |
|
STEP 1: DIVIDE 1 : 8 = 0 with a remainder of 1 |
||
| 0 | ||
| 8 | 1 | 7 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
||
| 0 | ||
| 8 | 1 | 7 |
| 0 | ||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||
| 0 | ||
| 8 | 1 | 7 |
| – | 0 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 8 | 1 | 7 |
| – | 0 | |
| 1 | 7 | |
|
STEP 5: DIVIDE 17 : 8 = 2 with a remainder of 1 |
||
| 0 | 2 | |
| 8 | 1 | 7 |
| – | 0 | |
| 1 | 7 | |
|
STEP 6: MULTIPLY 2 · 8 = 16 |
||
| 0 | 2 | |
| 8 | 1 | 7 |
| – | 0 | |
| 1 | 7 | |
| 1 | 6 | |
|
STEP 7: SUBTRACT 17 - 16 = 1 |
||
| 0 | 2 | |
| 8 | 1 | 7 |
| – | 0 | |
| 1 | 7 | |
| – | 1 | 6 |
| 1 | ||
|
STEP 7: SUBTRACT 17 - 16 = 1 |
||
| 0 | 2 | |
| 8 | 1 | 7 |
| – | 0 | |
| 1 | 7 | |
| – | 1 | 6 |
| 1 | ||
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