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What is the quotient and remainder when $ 7248 $ is divided by $ 249 $ ?
Answer
The quotient is 29 and the remainder is 27.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 9 |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | 8 |
| | – | 2 | 2 | 4 | 1 |
| | | | | 2 | 7 |
STEP 0: set up a division table
|
| | | | | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
STEP 1: DIVIDE 7 : 249 = 0 with a remainder of 7
|
| | | 0 | | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
STEP 2: MULTIPLY 0 · 249 = 0
|
| | | 0 | | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
STEP 5: DIVIDE 72 : 249 = 0 with a remainder of 72
|
| | | 0 | 0 | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
STEP 6: MULTIPLY 0 · 249 = 0
|
| | | 0 | 0 | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 72 - 0 = 72
|
| | | 0 | 0 | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
STEP 9: DIVIDE 724 : 249 = 2 with a remainder of 226
|
| | | 0 | 0 | 2 | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
STEP 10: MULTIPLY 2 · 249 = 498
|
| | | 0 | 0 | 2 | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | | 4 | 9 | 8 | |
STEP 11: SUBTRACT 724 - 498 = 226
|
| | | 0 | 0 | 2 | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | 8 |
STEP 13: DIVIDE 2268 : 249 = 9 with a remainder of 27
|
| | | 0 | 0 | 2 | 9 |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | 8 |
STEP 14: MULTIPLY 9 · 249 = 2241
|
| | | 0 | 0 | 2 | 9 |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | 8 |
| | | 2 | 2 | 4 | 1 |
STEP 15: SUBTRACT 2268 - 2241 = 27
|
| | | 0 | 0 | 2 | 9 |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | 8 |
| | – | 2 | 2 | 4 | 1 |
| | | | | 2 | 7 |
STEP 15: SUBTRACT 2268 - 2241 = 27
|
| | | 0 | 0 | 2 | 9 |
2 | 4 | 9 | 7 | 2 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | – | 0 | | |
| | | 7 | 2 | 4 | |
| | – | 4 | 9 | 8 | |
| | | 2 | 2 | 6 | 8 |
| | – | 2 | 2 | 4 | 1 |
| | | | | 2 | 7 |
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