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What is the quotient and remainder when $ 69503 $ is divided by $ 271 $ ?
Answer
The quotient is 256 and the remainder is 127.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 5 | 6 |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | 3 |
| | | – | 1 | 6 | 2 | 6 |
| | | | | 1 | 2 | 7 |
STEP 0: set up a division table
|
| | | | | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
STEP 1: DIVIDE 6 : 271 = 0 with a remainder of 6
|
| | | 0 | | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
STEP 2: MULTIPLY 0 · 271 = 0
|
| | | 0 | | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | | 0 | | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
STEP 5: DIVIDE 69 : 271 = 0 with a remainder of 69
|
| | | 0 | 0 | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
STEP 6: MULTIPLY 0 · 271 = 0
|
| | | 0 | 0 | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 69 - 0 = 69
|
| | | 0 | 0 | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
STEP 9: DIVIDE 695 : 271 = 2 with a remainder of 153
|
| | | 0 | 0 | 2 | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
STEP 10: MULTIPLY 2 · 271 = 542
|
| | | 0 | 0 | 2 | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | | 5 | 4 | 2 | | |
STEP 11: SUBTRACT 695 - 542 = 153
|
| | | 0 | 0 | 2 | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
STEP 13: DIVIDE 1530 : 271 = 5 with a remainder of 175
|
| | | 0 | 0 | 2 | 5 | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
STEP 14: MULTIPLY 5 · 271 = 1355
|
| | | 0 | 0 | 2 | 5 | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | | 1 | 3 | 5 | 5 | |
STEP 15: SUBTRACT 1530 - 1355 = 175
|
| | | 0 | 0 | 2 | 5 | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | |
STEP 16: BRING DOWN
|
| | | 0 | 0 | 2 | 5 | |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | 3 |
STEP 17: DIVIDE 1753 : 271 = 6 with a remainder of 127
|
| | | 0 | 0 | 2 | 5 | 6 |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | 3 |
STEP 18: MULTIPLY 6 · 271 = 1626
|
| | | 0 | 0 | 2 | 5 | 6 |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | 3 |
| | | | 1 | 6 | 2 | 6 |
STEP 19: SUBTRACT 1753 - 1626 = 127
|
| | | 0 | 0 | 2 | 5 | 6 |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | 3 |
| | | – | 1 | 6 | 2 | 6 |
| | | | | 1 | 2 | 7 |
STEP 19: SUBTRACT 1753 - 1626 = 127
|
| | | 0 | 0 | 2 | 5 | 6 |
2 | 7 | 1 | 6 | 9 | 5 | 0 | 3 |
| | – | 0 | | | | |
| | | 6 | 9 | | | |
| | | – | 0 | | | |
| | | 6 | 9 | 5 | | |
| | – | 5 | 4 | 2 | | |
| | | 1 | 5 | 3 | 0 | |
| | – | 1 | 3 | 5 | 5 | |
| | | | 1 | 7 | 5 | 3 |
| | | – | 1 | 6 | 2 | 6 |
| | | | | 1 | 2 | 7 |
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