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What is the quotient and remainder when $ 615 $ is divided by $ 77 $ ?
Answer
The quotient is 7 and the remainder is 76.
Explanation
Division Table
|
| | 0 | 0 | 7 |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | 5 |
| – | 5 | 3 | 9 |
| | | 7 | 6 |
STEP 0: set up a division table
|
| | | | |
7 | 7 | 6 | 1 | 5 |
STEP 1: DIVIDE 6 : 77 = 0 with a remainder of 6
|
| | 0 | | |
7 | 7 | 6 | 1 | 5 |
STEP 2: MULTIPLY 0 · 77 = 0
|
| | 0 | | |
7 | 7 | 6 | 1 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
STEP 5: DIVIDE 61 : 77 = 0 with a remainder of 61
|
| | 0 | 0 | |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
STEP 6: MULTIPLY 0 · 77 = 0
|
| | 0 | 0 | |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | | 0 | |
STEP 7: SUBTRACT 61 - 0 = 61
|
| | 0 | 0 | |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | |
STEP 8: BRING DOWN
|
| | 0 | 0 | |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | 5 |
STEP 9: DIVIDE 615 : 77 = 7 with a remainder of 76
|
| | 0 | 0 | 7 |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | 5 |
STEP 10: MULTIPLY 7 · 77 = 539
|
| | 0 | 0 | 7 |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | 5 |
| | 5 | 3 | 9 |
STEP 11: SUBTRACT 615 - 539 = 76
|
| | 0 | 0 | 7 |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | 5 |
| – | 5 | 3 | 9 |
| | | 7 | 6 |
STEP 11: SUBTRACT 615 - 539 = 76
|
| | 0 | 0 | 7 |
7 | 7 | 6 | 1 | 5 |
| – | 0 | | |
| | 6 | 1 | |
| | – | 0 | |
| | 6 | 1 | 5 |
| – | 5 | 3 | 9 |
| | | 7 | 6 |
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