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Question
What is the quotient and remainder when $ 1269 $ is divided by $ 47 $ ?
Answer
The quotient is 27 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 2 | 7 |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | 9 |
| | | – | 3 | 2 | 9 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
STEP 1: DIVIDE 1 : 47 = 0 with a remainder of 1
|
| | | 0 | | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
STEP 2: MULTIPLY 0 · 47 = 0
|
| | | 0 | | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
STEP 5: DIVIDE 12 : 47 = 0 with a remainder of 12
|
| | | 0 | 0 | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
STEP 6: MULTIPLY 0 · 47 = 0
|
| | | 0 | 0 | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | | 0 | 0 | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
STEP 9: DIVIDE 126 : 47 = 2 with a remainder of 32
|
| | | 0 | 0 | 2 | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
STEP 10: MULTIPLY 2 · 47 = 94
|
| | | 0 | 0 | 2 | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | | 9 | 4 | |
STEP 11: SUBTRACT 126 - 94 = 32
|
| | | 0 | 0 | 2 | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | 9 |
STEP 13: DIVIDE 329 : 47 = 7 with a remainder of 0
|
| | | 0 | 0 | 2 | 7 |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | 9 |
STEP 14: MULTIPLY 7 · 47 = 329
|
| | | 0 | 0 | 2 | 7 |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | 9 |
| | | | 3 | 2 | 9 |
STEP 15: SUBTRACT 329 - 329 = 0
|
| | | 0 | 0 | 2 | 7 |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | 9 |
| | | – | 3 | 2 | 9 |
| | | | | | 0 |
STEP 15: SUBTRACT 329 - 329 = 0
|
| | | 0 | 0 | 2 | 7 |
| 4 | 7 | 1 | 2 | 6 | 9 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 6 | |
| | | – | 9 | 4 | |
| | | | 3 | 2 | 9 |
| | | – | 3 | 2 | 9 |
| | | | | | 0 |
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