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Question
What is the quotient and remainder when $ 547 $ is divided by $ 27 $ ?
Answer
The quotient is 20 and the remainder is 7.
Explanation
|
Division Table
|
| | | 0 | 2 | 0 |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 7 | |
| | | – | 0 | |
| | | | 7 | |
STEP 0: set up a division table
|
| | | | | |
| 2 | 7 | 5 | 4 | 7 |
STEP 1: DIVIDE 5 : 27 = 0 with a remainder of 5
|
| | | 0 | | |
| 2 | 7 | 5 | 4 | 7 |
STEP 2: MULTIPLY 0 · 27 = 0
|
| | | 0 | | |
| 2 | 7 | 5 | 4 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
STEP 5: DIVIDE 54 : 27 = 2 with a remainder of 0
|
| | | 0 | 2 | |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
STEP 6: MULTIPLY 2 · 27 = 54
|
| | | 0 | 2 | |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | | 5 | 4 | |
STEP 7: SUBTRACT 54 - 54 = 0
|
| | | 0 | 2 | |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 0 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 7 | |
STEP 9: DIVIDE 7 : 27 = 0 with a remainder of 7
|
| | | 0 | 2 | 0 |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 7 | |
STEP 10: MULTIPLY 0 · 27 = 0
|
| | | 0 | 2 | 0 |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 7 | |
| | | | 0 | |
STEP 11: SUBTRACT 7 - 0 = 7
|
| | | 0 | 2 | 0 |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 7 | |
| | | – | 0 | |
| | | | 7 | |
STEP 11: SUBTRACT 7 - 0 = 7
|
| | | 0 | 2 | 0 |
| 2 | 7 | 5 | 4 | 7 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 5 | 4 | |
| | | | 7 | |
| | | – | 0 | |
| | | | 7 | |
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