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What is the quotient and remainder when $ 624 $ is divided by $ 8 $ ?
Answer
The quotient is 78 and the remainder is 0.
Explanation
Division Table
|
| 0 | 7 | 8 |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | 4 |
| – | 6 | 4 |
| | | 0 |
STEP 0: set up a division table
|
| | | |
8 | 6 | 2 | 4 |
STEP 1: DIVIDE 6 : 8 = 0 with a remainder of 6
|
| 0 | | |
8 | 6 | 2 | 4 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | |
8 | 6 | 2 | 4 |
| 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| 0 | | |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | | |
STEP 4: BRING DOWN
|
| 0 | | |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
STEP 5: DIVIDE 62 : 8 = 7 with a remainder of 6
|
| 0 | 7 | |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
STEP 6: MULTIPLY 7 · 8 = 56
|
| 0 | 7 | |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
| 5 | 6 | |
STEP 7: SUBTRACT 62 - 56 = 6
|
| 0 | 7 | |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | |
STEP 8: BRING DOWN
|
| 0 | 7 | |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | 4 |
STEP 9: DIVIDE 64 : 8 = 8 with a remainder of 0
|
| 0 | 7 | 8 |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | 4 |
STEP 10: MULTIPLY 8 · 8 = 64
|
| 0 | 7 | 8 |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | 4 |
| | 6 | 4 |
STEP 11: SUBTRACT 64 - 64 = 0
|
| 0 | 7 | 8 |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | 4 |
| – | 6 | 4 |
| | | 0 |
STEP 11: SUBTRACT 64 - 64 = 0
|
| 0 | 7 | 8 |
8 | 6 | 2 | 4 |
– | 0 | | |
| 6 | 2 | |
– | 5 | 6 | |
| | 6 | 4 |
| – | 6 | 4 |
| | | 0 |
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