Question
What is the quotient and remainder when $ 175 $ is divided by $ 8 $ ?
Answer
The quotient is 21 and the remainder is 7.
Explanation
| Division Table | |||
| 0 | 2 | 1 | |
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | 5 | ||
| – | 8 | ||
| 7 | |||
|
STEP 0: set up a division table |
|||
| 8 | 1 | 7 | 5 |
|
STEP 1: DIVIDE 1 : 8 = 0 with a remainder of 1 |
|||
| 0 | |||
| 8 | 1 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
|||
| 0 | |||
| 8 | 1 | 7 | 5 |
| 0 | |||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||
| 0 | |||
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
|
STEP 5: DIVIDE 17 : 8 = 2 with a remainder of 1 |
|||
| 0 | 2 | ||
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
|
STEP 6: MULTIPLY 2 · 8 = 16 |
|||
| 0 | 2 | ||
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| 1 | 6 | ||
|
STEP 7: SUBTRACT 17 - 16 = 1 |
|||
| 0 | 2 | ||
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 2 | ||
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | 5 | ||
|
STEP 9: DIVIDE 15 : 8 = 1 with a remainder of 7 |
|||
| 0 | 2 | 1 | |
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | 5 | ||
|
STEP 10: MULTIPLY 1 · 8 = 8 |
|||
| 0 | 2 | 1 | |
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | 5 | ||
| 8 | |||
|
STEP 11: SUBTRACT 15 - 8 = 7 |
|||
| 0 | 2 | 1 | |
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | 5 | ||
| – | 8 | ||
| 7 | |||
|
STEP 11: SUBTRACT 15 - 8 = 7 |
|||
| 0 | 2 | 1 | |
| 8 | 1 | 7 | 5 |
| – | 0 | ||
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | 5 | ||
| – | 8 | ||
| 7 | |||
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