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What is the quotient and remainder when $ 6278 $ is divided by $ 73 $ ?
Answer
The quotient is 86 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 8 | 6 |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | 8 |
| | – | 4 | 3 | 8 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
7 | 3 | 6 | 2 | 7 | 8 |
STEP 1: DIVIDE 6 : 73 = 0 with a remainder of 6
|
| | 0 | | | |
7 | 3 | 6 | 2 | 7 | 8 |
STEP 2: MULTIPLY 0 · 73 = 0
|
| | 0 | | | |
7 | 3 | 6 | 2 | 7 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
STEP 5: DIVIDE 62 : 73 = 0 with a remainder of 62
|
| | 0 | 0 | | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
STEP 6: MULTIPLY 0 · 73 = 0
|
| | 0 | 0 | | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | | 0 | | |
STEP 7: SUBTRACT 62 - 0 = 62
|
| | 0 | 0 | | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
STEP 9: DIVIDE 627 : 73 = 8 with a remainder of 43
|
| | 0 | 0 | 8 | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
STEP 10: MULTIPLY 8 · 73 = 584
|
| | 0 | 0 | 8 | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| | 5 | 8 | 4 | |
STEP 11: SUBTRACT 627 - 584 = 43
|
| | 0 | 0 | 8 | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | 8 |
STEP 13: DIVIDE 438 : 73 = 6 with a remainder of 0
|
| | 0 | 0 | 8 | 6 |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | 8 |
STEP 14: MULTIPLY 6 · 73 = 438
|
| | 0 | 0 | 8 | 6 |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | 8 |
| | | 4 | 3 | 8 |
STEP 15: SUBTRACT 438 - 438 = 0
|
| | 0 | 0 | 8 | 6 |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | 8 |
| | – | 4 | 3 | 8 |
| | | | | 0 |
STEP 15: SUBTRACT 438 - 438 = 0
|
| | 0 | 0 | 8 | 6 |
7 | 3 | 6 | 2 | 7 | 8 |
| – | 0 | | | |
| | 6 | 2 | | |
| | – | 0 | | |
| | 6 | 2 | 7 | |
| – | 5 | 8 | 4 | |
| | | 4 | 3 | 8 |
| | – | 4 | 3 | 8 |
| | | | | 0 |
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