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What is the quotient and remainder when $ 6708 $ is divided by $ 78 $ ?
Answer
The quotient is 86 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 8 | 6 |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | 8 |
| | – | 4 | 6 | 8 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
7 | 8 | 6 | 7 | 0 | 8 |
STEP 1: DIVIDE 6 : 78 = 0 with a remainder of 6
|
| | 0 | | | |
7 | 8 | 6 | 7 | 0 | 8 |
STEP 2: MULTIPLY 0 · 78 = 0
|
| | 0 | | | |
7 | 8 | 6 | 7 | 0 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
STEP 5: DIVIDE 67 : 78 = 0 with a remainder of 67
|
| | 0 | 0 | | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
STEP 6: MULTIPLY 0 · 78 = 0
|
| | 0 | 0 | | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | | 0 | | |
STEP 7: SUBTRACT 67 - 0 = 67
|
| | 0 | 0 | | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
STEP 9: DIVIDE 670 : 78 = 8 with a remainder of 46
|
| | 0 | 0 | 8 | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
STEP 10: MULTIPLY 8 · 78 = 624
|
| | 0 | 0 | 8 | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| | 6 | 2 | 4 | |
STEP 11: SUBTRACT 670 - 624 = 46
|
| | 0 | 0 | 8 | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | 8 |
STEP 13: DIVIDE 468 : 78 = 6 with a remainder of 0
|
| | 0 | 0 | 8 | 6 |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | 8 |
STEP 14: MULTIPLY 6 · 78 = 468
|
| | 0 | 0 | 8 | 6 |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | 8 |
| | | 4 | 6 | 8 |
STEP 15: SUBTRACT 468 - 468 = 0
|
| | 0 | 0 | 8 | 6 |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | 8 |
| | – | 4 | 6 | 8 |
| | | | | 0 |
STEP 15: SUBTRACT 468 - 468 = 0
|
| | 0 | 0 | 8 | 6 |
7 | 8 | 6 | 7 | 0 | 8 |
| – | 0 | | | |
| | 6 | 7 | | |
| | – | 0 | | |
| | 6 | 7 | 0 | |
| – | 6 | 2 | 4 | |
| | | 4 | 6 | 8 |
| | – | 4 | 6 | 8 |
| | | | | 0 |
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