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Question
What is the quotient and remainder when $ 634 $ is divided by $ 385 $ ?
Answer
The quotient is 1 and the remainder is 249.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | 4 |
| | | – | 3 | 8 | 5 |
| | | | 2 | 4 | 9 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 8 | 5 | 6 | 3 | 4 |
STEP 1: DIVIDE 6 : 385 = 0 with a remainder of 6
|
| | | | 0 | | |
| 3 | 8 | 5 | 6 | 3 | 4 |
STEP 2: MULTIPLY 0 · 385 = 0
|
| | | | 0 | | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | 0 | | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
STEP 5: DIVIDE 63 : 385 = 0 with a remainder of 63
|
| | | | 0 | 0 | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
STEP 6: MULTIPLY 0 · 385 = 0
|
| | | | 0 | 0 | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | | 0 | |
STEP 7: SUBTRACT 63 - 0 = 63
|
| | | | 0 | 0 | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | 4 |
STEP 9: DIVIDE 634 : 385 = 1 with a remainder of 249
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | 4 |
STEP 10: MULTIPLY 1 · 385 = 385
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | 4 |
| | | | 3 | 8 | 5 |
STEP 11: SUBTRACT 634 - 385 = 249
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | 4 |
| | | – | 3 | 8 | 5 |
| | | | 2 | 4 | 9 |
STEP 11: SUBTRACT 634 - 385 = 249
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 5 | 6 | 3 | 4 |
| | | – | 0 | | |
| | | | 6 | 3 | |
| | | | – | 0 | |
| | | | 6 | 3 | 4 |
| | | – | 3 | 8 | 5 |
| | | | 2 | 4 | 9 |
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