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What is the quotient and remainder when $ 279 $ is divided by $ 250 $ ?
Answer
The quotient is 1 and the remainder is 29.
Explanation
Division Table
|
| | | 0 | 0 | 1 |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 9 |
| | – | 2 | 5 | 0 |
| | | | 2 | 9 |
STEP 0: set up a division table
|
| | | | | |
2 | 5 | 0 | 2 | 7 | 9 |
STEP 1: DIVIDE 2 : 250 = 0 with a remainder of 2
|
| | | 0 | | |
2 | 5 | 0 | 2 | 7 | 9 |
STEP 2: MULTIPLY 0 · 250 = 0
|
| | | 0 | | |
2 | 5 | 0 | 2 | 7 | 9 |
| | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
STEP 5: DIVIDE 27 : 250 = 0 with a remainder of 27
|
| | | 0 | 0 | |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
STEP 6: MULTIPLY 0 · 250 = 0
|
| | | 0 | 0 | |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | | 0 | |
STEP 7: SUBTRACT 27 - 0 = 27
|
| | | 0 | 0 | |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 9 |
STEP 9: DIVIDE 279 : 250 = 1 with a remainder of 29
|
| | | 0 | 0 | 1 |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 9 |
STEP 10: MULTIPLY 1 · 250 = 250
|
| | | 0 | 0 | 1 |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 9 |
| | | 2 | 5 | 0 |
STEP 11: SUBTRACT 279 - 250 = 29
|
| | | 0 | 0 | 1 |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 9 |
| | – | 2 | 5 | 0 |
| | | | 2 | 9 |
STEP 11: SUBTRACT 279 - 250 = 29
|
| | | 0 | 0 | 1 |
2 | 5 | 0 | 2 | 7 | 9 |
| | – | 0 | | |
| | | 2 | 7 | |
| | | – | 0 | |
| | | 2 | 7 | 9 |
| | – | 2 | 5 | 0 |
| | | | 2 | 9 |
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