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What is the quotient and remainder when $ 2730 $ is divided by $ 312 $ ?
Answer
The quotient is 8 and the remainder is 234.
Explanation
Division Table
|
| | | 0 | 0 | 0 | 8 |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | 0 |
| | – | 2 | 4 | 9 | 6 |
| | | | 2 | 3 | 4 |
STEP 0: set up a division table
|
| | | | | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
STEP 1: DIVIDE 2 : 312 = 0 with a remainder of 2
|
| | | 0 | | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
STEP 2: MULTIPLY 0 · 312 = 0
|
| | | 0 | | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
STEP 5: DIVIDE 27 : 312 = 0 with a remainder of 27
|
| | | 0 | 0 | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
STEP 6: MULTIPLY 0 · 312 = 0
|
| | | 0 | 0 | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 27 - 0 = 27
|
| | | 0 | 0 | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
STEP 9: DIVIDE 273 : 312 = 0 with a remainder of 273
|
| | | 0 | 0 | 0 | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
STEP 10: MULTIPLY 0 · 312 = 0
|
| | | 0 | 0 | 0 | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | | 0 | |
STEP 11: SUBTRACT 273 - 0 = 273
|
| | | 0 | 0 | 0 | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 0 | |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | 0 |
STEP 13: DIVIDE 2730 : 312 = 8 with a remainder of 234
|
| | | 0 | 0 | 0 | 8 |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | 0 |
STEP 14: MULTIPLY 8 · 312 = 2496
|
| | | 0 | 0 | 0 | 8 |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | 0 |
| | | 2 | 4 | 9 | 6 |
STEP 15: SUBTRACT 2730 - 2496 = 234
|
| | | 0 | 0 | 0 | 8 |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | 0 |
| | – | 2 | 4 | 9 | 6 |
| | | | 2 | 3 | 4 |
STEP 15: SUBTRACT 2730 - 2496 = 234
|
| | | 0 | 0 | 0 | 8 |
3 | 1 | 2 | 2 | 7 | 3 | 0 |
| | – | 0 | | | |
| | | 2 | 7 | | |
| | | – | 0 | | |
| | | 2 | 7 | 3 | |
| | | | – | 0 | |
| | | 2 | 7 | 3 | 0 |
| | – | 2 | 4 | 9 | 6 |
| | | | 2 | 3 | 4 |
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