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Question
What is the quotient and remainder when $ 8760 $ is divided by $ 24 $ ?
Answer
The quotient is 365 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 3 | 6 | 5 |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | 0 |
| | | – | 1 | 2 | 0 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
STEP 1: DIVIDE 8 : 24 = 0 with a remainder of 8
|
| | | 0 | | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | | 0 | | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
STEP 5: DIVIDE 87 : 24 = 3 with a remainder of 15
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
STEP 6: MULTIPLY 3 · 24 = 72
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | | 7 | 2 | | |
STEP 7: SUBTRACT 87 - 72 = 15
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
STEP 9: DIVIDE 156 : 24 = 6 with a remainder of 12
|
| | | 0 | 3 | 6 | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
STEP 10: MULTIPLY 6 · 24 = 144
|
| | | 0 | 3 | 6 | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | | 1 | 4 | 4 | |
STEP 11: SUBTRACT 156 - 144 = 12
|
| | | 0 | 3 | 6 | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 3 | 6 | |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | 0 |
STEP 13: DIVIDE 120 : 24 = 5 with a remainder of 0
|
| | | 0 | 3 | 6 | 5 |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | 0 |
STEP 14: MULTIPLY 5 · 24 = 120
|
| | | 0 | 3 | 6 | 5 |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | 0 |
| | | | 1 | 2 | 0 |
STEP 15: SUBTRACT 120 - 120 = 0
|
| | | 0 | 3 | 6 | 5 |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | 0 |
| | | – | 1 | 2 | 0 |
| | | | | | 0 |
STEP 15: SUBTRACT 120 - 120 = 0
|
| | | 0 | 3 | 6 | 5 |
| 2 | 4 | 8 | 7 | 6 | 0 |
| | – | 0 | | | |
| | | 8 | 7 | | |
| | – | 7 | 2 | | |
| | | 1 | 5 | 6 | |
| | – | 1 | 4 | 4 | |
| | | | 1 | 2 | 0 |
| | | – | 1 | 2 | 0 |
| | | | | | 0 |
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