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Question
What is the quotient and remainder when $ 267 $ is divided by $ 14 $ ?
Answer
The quotient is 19 and the remainder is 1.
Explanation
|
Division Table
|
| | | 0 | 1 | 9 |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | 7 |
| | – | 1 | 2 | 6 |
| | | | | 1 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 4 | 2 | 6 | 7 |
STEP 1: DIVIDE 2 : 14 = 0 with a remainder of 2
|
| | | 0 | | |
| 1 | 4 | 2 | 6 | 7 |
STEP 2: MULTIPLY 0 · 14 = 0
|
| | | 0 | | |
| 1 | 4 | 2 | 6 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
STEP 5: DIVIDE 26 : 14 = 1 with a remainder of 12
|
| | | 0 | 1 | |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
STEP 6: MULTIPLY 1 · 14 = 14
|
| | | 0 | 1 | |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | | 1 | 4 | |
STEP 7: SUBTRACT 26 - 14 = 12
|
| | | 0 | 1 | |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | 7 |
STEP 9: DIVIDE 127 : 14 = 9 with a remainder of 1
|
| | | 0 | 1 | 9 |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | 7 |
STEP 10: MULTIPLY 9 · 14 = 126
|
| | | 0 | 1 | 9 |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | 7 |
| | | 1 | 2 | 6 |
STEP 11: SUBTRACT 127 - 126 = 1
|
| | | 0 | 1 | 9 |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | 7 |
| | – | 1 | 2 | 6 |
| | | | | 1 |
STEP 11: SUBTRACT 127 - 126 = 1
|
| | | 0 | 1 | 9 |
| 1 | 4 | 2 | 6 | 7 |
| | – | 0 | | |
| | | 2 | 6 | |
| | – | 1 | 4 | |
| | | 1 | 2 | 7 |
| | – | 1 | 2 | 6 |
| | | | | 1 |
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