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Question
What is the quotient and remainder when $ 6757 $ is divided by $ 233 $ ?
Answer
The quotient is 29 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 2 | 9 |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | 7 |
| | | – | 2 | 0 | 9 | 7 |
| | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
STEP 1: DIVIDE 6 : 233 = 0 with a remainder of 6
|
| | | | 0 | | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
STEP 2: MULTIPLY 0 · 233 = 0
|
| | | | 0 | | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | 0 | | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
STEP 5: DIVIDE 67 : 233 = 0 with a remainder of 67
|
| | | | 0 | 0 | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
STEP 6: MULTIPLY 0 · 233 = 0
|
| | | | 0 | 0 | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 67 - 0 = 67
|
| | | | 0 | 0 | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
STEP 9: DIVIDE 675 : 233 = 2 with a remainder of 209
|
| | | | 0 | 0 | 2 | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
STEP 10: MULTIPLY 2 · 233 = 466
|
| | | | 0 | 0 | 2 | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | | 4 | 6 | 6 | |
STEP 11: SUBTRACT 675 - 466 = 209
|
| | | | 0 | 0 | 2 | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 2 | |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | 7 |
STEP 13: DIVIDE 2097 : 233 = 9 with a remainder of 0
|
| | | | 0 | 0 | 2 | 9 |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | 7 |
STEP 14: MULTIPLY 9 · 233 = 2097
|
| | | | 0 | 0 | 2 | 9 |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | 7 |
| | | | 2 | 0 | 9 | 7 |
STEP 15: SUBTRACT 2097 - 2097 = 0
|
| | | | 0 | 0 | 2 | 9 |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | 7 |
| | | – | 2 | 0 | 9 | 7 |
| | | | | | | 0 |
STEP 15: SUBTRACT 2097 - 2097 = 0
|
| | | | 0 | 0 | 2 | 9 |
| 2 | 3 | 3 | 6 | 7 | 5 | 7 |
| | | – | 0 | | | |
| | | | 6 | 7 | | |
| | | | – | 0 | | |
| | | | 6 | 7 | 5 | |
| | | – | 4 | 6 | 6 | |
| | | | 2 | 0 | 9 | 7 |
| | | – | 2 | 0 | 9 | 7 |
| | | | | | | 0 |
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