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Question
What is the quotient and remainder when $ 7048 $ is divided by $ 24 $ ?
Answer
The quotient is 293 and the remainder is 16.
Explanation
|
Division Table
|
| | | 0 | 2 | 9 | 3 |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 8 |
| | | | – | 7 | 2 |
| | | | | 1 | 6 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
STEP 1: DIVIDE 7 : 24 = 0 with a remainder of 7
|
| | | 0 | | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | | 0 | | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 24 = 2 with a remainder of 22
|
| | | 0 | 2 | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 2 · 24 = 48
|
| | | 0 | 2 | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | 4 | 8 | | |
STEP 7: SUBTRACT 70 - 48 = 22
|
| | | 0 | 2 | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
STEP 9: DIVIDE 224 : 24 = 9 with a remainder of 8
|
| | | 0 | 2 | 9 | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
STEP 10: MULTIPLY 9 · 24 = 216
|
| | | 0 | 2 | 9 | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | | 2 | 1 | 6 | |
STEP 11: SUBTRACT 224 - 216 = 8
|
| | | 0 | 2 | 9 | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 9 | |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 8 |
STEP 13: DIVIDE 88 : 24 = 3 with a remainder of 16
|
| | | 0 | 2 | 9 | 3 |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 8 |
STEP 14: MULTIPLY 3 · 24 = 72
|
| | | 0 | 2 | 9 | 3 |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 8 |
| | | | | 7 | 2 |
STEP 15: SUBTRACT 88 - 72 = 16
|
| | | 0 | 2 | 9 | 3 |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 8 |
| | | | – | 7 | 2 |
| | | | | 1 | 6 |
STEP 15: SUBTRACT 88 - 72 = 16
|
| | | 0 | 2 | 9 | 3 |
| 2 | 4 | 7 | 0 | 4 | 8 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 4 | 8 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 8 |
| | | | – | 7 | 2 |
| | | | | 1 | 6 |
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