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Question
What is the quotient and remainder when $ 4128 $ is divided by $ 24 $ ?
Answer
The quotient is 172 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 7 | 2 |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | 8 |
| | | | – | 4 | 8 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
STEP 1: DIVIDE 4 : 24 = 0 with a remainder of 4
|
| | | 0 | | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | | 0 | | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
STEP 5: DIVIDE 41 : 24 = 1 with a remainder of 17
|
| | | 0 | 1 | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
STEP 6: MULTIPLY 1 · 24 = 24
|
| | | 0 | 1 | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | | 2 | 4 | | |
STEP 7: SUBTRACT 41 - 24 = 17
|
| | | 0 | 1 | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
STEP 9: DIVIDE 172 : 24 = 7 with a remainder of 4
|
| | | 0 | 1 | 7 | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
STEP 10: MULTIPLY 7 · 24 = 168
|
| | | 0 | 1 | 7 | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | | 1 | 6 | 8 | |
STEP 11: SUBTRACT 172 - 168 = 4
|
| | | 0 | 1 | 7 | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 7 | |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | 8 |
STEP 13: DIVIDE 48 : 24 = 2 with a remainder of 0
|
| | | 0 | 1 | 7 | 2 |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | 8 |
STEP 14: MULTIPLY 2 · 24 = 48
|
| | | 0 | 1 | 7 | 2 |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | 8 |
| | | | | 4 | 8 |
STEP 15: SUBTRACT 48 - 48 = 0
|
| | | 0 | 1 | 7 | 2 |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | 8 |
| | | | – | 4 | 8 |
| | | | | | 0 |
STEP 15: SUBTRACT 48 - 48 = 0
|
| | | 0 | 1 | 7 | 2 |
| 2 | 4 | 4 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 2 | 4 | | |
| | | 1 | 7 | 2 | |
| | – | 1 | 6 | 8 | |
| | | | | 4 | 8 |
| | | | – | 4 | 8 |
| | | | | | 0 |
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