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Question
What is the quotient and remainder when $ 6782 $ is divided by $ 604 $ ?
Answer
The quotient is 11 and the remainder is 138.
Explanation
Division Table
|
| | | 0 | 0 | 1 | 1 |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | 2 |
| | | – | 6 | 0 | 4 |
| | | | 1 | 3 | 8 |
STEP 0: set up a division table
|
| | | | | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
STEP 1: DIVIDE 6 : 604 = 0 with a remainder of 6
|
| | | 0 | | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
STEP 2: MULTIPLY 0 · 604 = 0
|
| | | 0 | | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
STEP 5: DIVIDE 67 : 604 = 0 with a remainder of 67
|
| | | 0 | 0 | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
STEP 6: MULTIPLY 0 · 604 = 0
|
| | | 0 | 0 | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 67 - 0 = 67
|
| | | 0 | 0 | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
STEP 9: DIVIDE 678 : 604 = 1 with a remainder of 74
|
| | | 0 | 0 | 1 | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
STEP 10: MULTIPLY 1 · 604 = 604
|
| | | 0 | 0 | 1 | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | | 6 | 0 | 4 | |
STEP 11: SUBTRACT 678 - 604 = 74
|
| | | 0 | 0 | 1 | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 1 | |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | 2 |
STEP 13: DIVIDE 742 : 604 = 1 with a remainder of 138
|
| | | 0 | 0 | 1 | 1 |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | 2 |
STEP 14: MULTIPLY 1 · 604 = 604
|
| | | 0 | 0 | 1 | 1 |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | 2 |
| | | | 6 | 0 | 4 |
STEP 15: SUBTRACT 742 - 604 = 138
|
| | | 0 | 0 | 1 | 1 |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | 2 |
| | | – | 6 | 0 | 4 |
| | | | 1 | 3 | 8 |
STEP 15: SUBTRACT 742 - 604 = 138
|
| | | 0 | 0 | 1 | 1 |
6 | 0 | 4 | 6 | 7 | 8 | 2 |
| | – | 0 | | | |
| | | 6 | 7 | | |
| | | – | 0 | | |
| | | 6 | 7 | 8 | |
| | – | 6 | 0 | 4 | |
| | | | 7 | 4 | 2 |
| | | – | 6 | 0 | 4 |
| | | | 1 | 3 | 8 |
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