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What is the quotient and remainder when $ 566 $ is divided by $ 2 $ ?
Answer
The quotient is 283 and the remainder is 0.
Explanation
Division Table
|
| 2 | 8 | 3 |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 6 | |
| – | 6 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
2 | 5 | 6 | 6 |
STEP 1: DIVIDE 5 : 2 = 2 with a remainder of 1
|
| 2 | | |
2 | 5 | 6 | 6 |
STEP 2: MULTIPLY 2 · 2 = 4
|
| 2 | | |
2 | 5 | 6 | 6 |
| 4 | | |
STEP 3: SUBTRACT 5 - 4 = 1
|
| 2 | | |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 2 | | |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
STEP 5: DIVIDE 16 : 2 = 8 with a remainder of 0
|
| 2 | 8 | |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
STEP 6: MULTIPLY 8 · 2 = 16
|
| 2 | 8 | |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
| 1 | 6 | |
STEP 7: SUBTRACT 16 - 16 = 0
|
| 2 | 8 | |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 0 | |
STEP 8: BRING DOWN
|
| 2 | 8 | |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 6 | |
STEP 9: DIVIDE 6 : 2 = 3 with a remainder of 0
|
| 2 | 8 | 3 |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 6 | |
STEP 10: MULTIPLY 3 · 2 = 6
|
| 2 | 8 | 3 |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 6 | |
| | 6 | |
STEP 11: SUBTRACT 6 - 6 = 0
|
| 2 | 8 | 3 |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 6 | |
| – | 6 | |
| | 0 | |
STEP 11: SUBTRACT 6 - 6 = 0
|
| 2 | 8 | 3 |
2 | 5 | 6 | 6 |
– | 4 | | |
| 1 | 6 | |
– | 1 | 6 | |
| | 6 | |
| – | 6 | |
| | 0 | |
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