Question
What is the quotient and remainder when $ 801 $ is divided by $ 8 $ ?
Answer
The quotient is 100 and the remainder is 1.
Explanation
| Division Table | |||
| 1 | 0 | 0 | |
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 1 | |||
| – | 0 | ||
| 1 | |||
|
STEP 0: set up a division table |
|||
| 8 | 8 | 0 | 1 |
|
STEP 1: DIVIDE 8 : 8 = 1 with a remainder of 0 |
|||
| 1 | |||
| 8 | 8 | 0 | 1 |
|
STEP 2: MULTIPLY 1 · 8 = 8 |
|||
| 1 | |||
| 8 | 8 | 0 | 1 |
| 8 | |||
|
STEP 3: SUBTRACT 8 - 8 = 0 |
|||
| 1 | |||
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
|
STEP 5: DIVIDE 0 : 8 = 0 with a remainder of 0 |
|||
| 1 | 0 | ||
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
|
STEP 6: MULTIPLY 0 · 8 = 0 |
|||
| 1 | 0 | ||
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| 0 | |||
|
STEP 7: SUBTRACT 0 - 0 = 0 |
|||
| 1 | 0 | ||
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 0 | |||
| STEP 8: BRING DOWN | |||
| 1 | 0 | ||
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 1 | |||
|
STEP 9: DIVIDE 1 : 8 = 0 with a remainder of 1 |
|||
| 1 | 0 | 0 | |
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 1 | |||
|
STEP 10: MULTIPLY 0 · 8 = 0 |
|||
| 1 | 0 | 0 | |
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 1 | |||
| 0 | |||
|
STEP 11: SUBTRACT 1 - 0 = 1 |
|||
| 1 | 0 | 0 | |
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 1 | |||
| – | 0 | ||
| 1 | |||
|
STEP 11: SUBTRACT 1 - 0 = 1 |
|||
| 1 | 0 | 0 | |
| 8 | 8 | 0 | 1 |
| – | 8 | ||
| 0 | |||
| – | 0 | ||
| 1 | |||
| – | 0 | ||
| 1 | |||
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