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Question
What is the quotient and remainder when $ 568 $ is divided by $ 8 $ ?
Answer
The quotient is 71 and the remainder is 0.
Explanation
Division Table
|
| 0 | 7 | 1 |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 8 | |
| – | 8 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
8 | 5 | 6 | 8 |
STEP 1: DIVIDE 5 : 8 = 0 with a remainder of 5
|
| 0 | | |
8 | 5 | 6 | 8 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | |
8 | 5 | 6 | 8 |
| 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| 0 | | |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | | |
STEP 4: BRING DOWN
|
| 0 | | |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
STEP 5: DIVIDE 56 : 8 = 7 with a remainder of 0
|
| 0 | 7 | |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
STEP 6: MULTIPLY 7 · 8 = 56
|
| 0 | 7 | |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
| 5 | 6 | |
STEP 7: SUBTRACT 56 - 56 = 0
|
| 0 | 7 | |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 0 | |
STEP 8: BRING DOWN
|
| 0 | 7 | |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 8 | |
STEP 9: DIVIDE 8 : 8 = 1 with a remainder of 0
|
| 0 | 7 | 1 |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 8 | |
STEP 10: MULTIPLY 1 · 8 = 8
|
| 0 | 7 | 1 |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 8 | |
| | 8 | |
STEP 11: SUBTRACT 8 - 8 = 0
|
| 0 | 7 | 1 |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 8 | |
| – | 8 | |
| | 0 | |
STEP 11: SUBTRACT 8 - 8 = 0
|
| 0 | 7 | 1 |
8 | 5 | 6 | 8 |
– | 0 | | |
| 5 | 6 | |
– | 5 | 6 | |
| | 8 | |
| – | 8 | |
| | 0 | |
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