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What is the quotient and remainder when $ 466 $ is divided by $ 267 $ ?
Answer
The quotient is 1 and the remainder is 199.
Explanation
Division Table
|
| | | 0 | 0 | 1 |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | 6 |
| | – | 2 | 6 | 7 |
| | | 1 | 9 | 9 |
STEP 0: set up a division table
|
| | | | | |
2 | 6 | 7 | 4 | 6 | 6 |
STEP 1: DIVIDE 4 : 267 = 0 with a remainder of 4
|
| | | 0 | | |
2 | 6 | 7 | 4 | 6 | 6 |
STEP 2: MULTIPLY 0 · 267 = 0
|
| | | 0 | | |
2 | 6 | 7 | 4 | 6 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
STEP 5: DIVIDE 46 : 267 = 0 with a remainder of 46
|
| | | 0 | 0 | |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
STEP 6: MULTIPLY 0 · 267 = 0
|
| | | 0 | 0 | |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | | 0 | |
STEP 7: SUBTRACT 46 - 0 = 46
|
| | | 0 | 0 | |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | 6 |
STEP 9: DIVIDE 466 : 267 = 1 with a remainder of 199
|
| | | 0 | 0 | 1 |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | 6 |
STEP 10: MULTIPLY 1 · 267 = 267
|
| | | 0 | 0 | 1 |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | 6 |
| | | 2 | 6 | 7 |
STEP 11: SUBTRACT 466 - 267 = 199
|
| | | 0 | 0 | 1 |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | 6 |
| | – | 2 | 6 | 7 |
| | | 1 | 9 | 9 |
STEP 11: SUBTRACT 466 - 267 = 199
|
| | | 0 | 0 | 1 |
2 | 6 | 7 | 4 | 6 | 6 |
| | – | 0 | | |
| | | 4 | 6 | |
| | | – | 0 | |
| | | 4 | 6 | 6 |
| | – | 2 | 6 | 7 |
| | | 1 | 9 | 9 |
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