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What is the quotient and remainder when $ 782 $ is divided by $ 2 $ ?
Answer
The quotient is 391 and the remainder is 0.
Explanation
Division Table
|
| 3 | 9 | 1 |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 2 | |
| – | 2 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
2 | 7 | 8 | 2 |
STEP 1: DIVIDE 7 : 2 = 3 with a remainder of 1
|
| 3 | | |
2 | 7 | 8 | 2 |
STEP 2: MULTIPLY 3 · 2 = 6
|
| 3 | | |
2 | 7 | 8 | 2 |
| 6 | | |
STEP 3: SUBTRACT 7 - 6 = 1
|
| 3 | | |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 3 | | |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
STEP 5: DIVIDE 18 : 2 = 9 with a remainder of 0
|
| 3 | 9 | |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
STEP 6: MULTIPLY 9 · 2 = 18
|
| 3 | 9 | |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
| 1 | 8 | |
STEP 7: SUBTRACT 18 - 18 = 0
|
| 3 | 9 | |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 0 | |
STEP 8: BRING DOWN
|
| 3 | 9 | |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 2 | |
STEP 9: DIVIDE 2 : 2 = 1 with a remainder of 0
|
| 3 | 9 | 1 |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 2 | |
STEP 10: MULTIPLY 1 · 2 = 2
|
| 3 | 9 | 1 |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 2 | |
| | 2 | |
STEP 11: SUBTRACT 2 - 2 = 0
|
| 3 | 9 | 1 |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 2 | |
| – | 2 | |
| | 0 | |
STEP 11: SUBTRACT 2 - 2 = 0
|
| 3 | 9 | 1 |
2 | 7 | 8 | 2 |
– | 6 | | |
| 1 | 8 | |
– | 1 | 8 | |
| | 2 | |
| – | 2 | |
| | 0 | |
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