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What is the quotient and remainder when $ 520 $ is divided by $ 8 $ ?
Answer
The quotient is 65 and the remainder is 0.
Explanation
Division Table
|
| 0 | 6 | 5 |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | 0 |
| – | 4 | 0 |
| | | 0 |
STEP 0: set up a division table
|
| | | |
8 | 5 | 2 | 0 |
STEP 1: DIVIDE 5 : 8 = 0 with a remainder of 5
|
| 0 | | |
8 | 5 | 2 | 0 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | |
8 | 5 | 2 | 0 |
| 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| 0 | | |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | | |
STEP 4: BRING DOWN
|
| 0 | | |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
STEP 5: DIVIDE 52 : 8 = 6 with a remainder of 4
|
| 0 | 6 | |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
STEP 6: MULTIPLY 6 · 8 = 48
|
| 0 | 6 | |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
| 4 | 8 | |
STEP 7: SUBTRACT 52 - 48 = 4
|
| 0 | 6 | |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | |
STEP 8: BRING DOWN
|
| 0 | 6 | |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | 0 |
STEP 9: DIVIDE 40 : 8 = 5 with a remainder of 0
|
| 0 | 6 | 5 |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | 0 |
STEP 10: MULTIPLY 5 · 8 = 40
|
| 0 | 6 | 5 |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | 0 |
| | 4 | 0 |
STEP 11: SUBTRACT 40 - 40 = 0
|
| 0 | 6 | 5 |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | 0 |
| – | 4 | 0 |
| | | 0 |
STEP 11: SUBTRACT 40 - 40 = 0
|
| 0 | 6 | 5 |
8 | 5 | 2 | 0 |
– | 0 | | |
| 5 | 2 | |
– | 4 | 8 | |
| | 4 | 0 |
| – | 4 | 0 |
| | | 0 |
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