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Question
What is the quotient and remainder when $ 9295 $ is divided by $ 3024 $ ?
Answer
The quotient is 3 and the remainder is 223.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 3 |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | 5 |
| | | – | 9 | 0 | 7 | 2 |
| | | | | 2 | 2 | 3 |
STEP 0: set up a division table
|
| | | | | | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
STEP 1: DIVIDE 9 : 3024 = 0 with a remainder of 9
|
| | | | 0 | | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
STEP 2: MULTIPLY 0 · 3024 = 0
|
| | | | 0 | | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | | 0 | | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
STEP 5: DIVIDE 92 : 3024 = 0 with a remainder of 92
|
| | | | 0 | 0 | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
STEP 6: MULTIPLY 0 · 3024 = 0
|
| | | | 0 | 0 | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 92 - 0 = 92
|
| | | | 0 | 0 | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
STEP 9: DIVIDE 929 : 3024 = 0 with a remainder of 929
|
| | | | 0 | 0 | 0 | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
STEP 10: MULTIPLY 0 · 3024 = 0
|
| | | | 0 | 0 | 0 | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 929 - 0 = 929
|
| | | | 0 | 0 | 0 | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | 5 |
STEP 13: DIVIDE 9295 : 3024 = 3 with a remainder of 223
|
| | | | 0 | 0 | 0 | 3 |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | 5 |
STEP 14: MULTIPLY 3 · 3024 = 9072
|
| | | | 0 | 0 | 0 | 3 |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | 5 |
| | | | 9 | 0 | 7 | 2 |
STEP 15: SUBTRACT 9295 - 9072 = 223
|
| | | | 0 | 0 | 0 | 3 |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | 5 |
| | | – | 9 | 0 | 7 | 2 |
| | | | | 2 | 2 | 3 |
STEP 15: SUBTRACT 9295 - 9072 = 223
|
| | | | 0 | 0 | 0 | 3 |
3 | 0 | 2 | 4 | 9 | 2 | 9 | 5 |
| | | – | 0 | | | |
| | | | 9 | 2 | | |
| | | | – | 0 | | |
| | | | 9 | 2 | 9 | |
| | | | | – | 0 | |
| | | | 9 | 2 | 9 | 5 |
| | | – | 9 | 0 | 7 | 2 |
| | | | | 2 | 2 | 3 |
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