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Question
What is the quotient and remainder when $ 8568 $ is divided by $ 24 $ ?
Answer
The quotient is 357 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 3 | 5 | 7 |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | 8 |
| | | – | 1 | 6 | 8 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
STEP 1: DIVIDE 8 : 24 = 0 with a remainder of 8
|
| | | 0 | | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | | 0 | | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
STEP 5: DIVIDE 85 : 24 = 3 with a remainder of 13
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
STEP 6: MULTIPLY 3 · 24 = 72
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | 7 | 2 | | |
STEP 7: SUBTRACT 85 - 72 = 13
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
STEP 9: DIVIDE 136 : 24 = 5 with a remainder of 16
|
| | | 0 | 3 | 5 | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
STEP 10: MULTIPLY 5 · 24 = 120
|
| | | 0 | 3 | 5 | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | | 1 | 2 | 0 | |
STEP 11: SUBTRACT 136 - 120 = 16
|
| | | 0 | 3 | 5 | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 3 | 5 | |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | 8 |
STEP 13: DIVIDE 168 : 24 = 7 with a remainder of 0
|
| | | 0 | 3 | 5 | 7 |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | 8 |
STEP 14: MULTIPLY 7 · 24 = 168
|
| | | 0 | 3 | 5 | 7 |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | 8 |
| | | | 1 | 6 | 8 |
STEP 15: SUBTRACT 168 - 168 = 0
|
| | | 0 | 3 | 5 | 7 |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | 8 |
| | | – | 1 | 6 | 8 |
| | | | | | 0 |
STEP 15: SUBTRACT 168 - 168 = 0
|
| | | 0 | 3 | 5 | 7 |
| 2 | 4 | 8 | 5 | 6 | 8 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 2 | | |
| | | 1 | 3 | 6 | |
| | – | 1 | 2 | 0 | |
| | | | 1 | 6 | 8 |
| | | – | 1 | 6 | 8 |
| | | | | | 0 |
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