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What is the quotient and remainder when $ 6341 $ is divided by $ 7 $ ?
Answer
The quotient is 905 and the remainder is 6.
Explanation
Division Table
|
| 0 | 9 | 0 | 5 |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 5 | |
| | | 6 | |
STEP 0: set up a division table
|
| | | | |
7 | 6 | 3 | 4 | 1 |
STEP 1: DIVIDE 6 : 7 = 0 with a remainder of 6
|
| 0 | | | |
7 | 6 | 3 | 4 | 1 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| 0 | | | |
7 | 6 | 3 | 4 | 1 |
| 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| 0 | | | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
STEP 5: DIVIDE 63 : 7 = 9 with a remainder of 0
|
| 0 | 9 | | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
STEP 6: MULTIPLY 9 · 7 = 63
|
| 0 | 9 | | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
| 6 | 3 | | |
STEP 7: SUBTRACT 63 - 63 = 0
|
| 0 | 9 | | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 0 | | |
STEP 8: BRING DOWN
|
| 0 | 9 | | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
STEP 9: DIVIDE 4 : 7 = 0 with a remainder of 4
|
| 0 | 9 | 0 | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
STEP 10: MULTIPLY 0 · 7 = 0
|
| 0 | 9 | 0 | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| | 0 | | |
STEP 11: SUBTRACT 4 - 0 = 4
|
| 0 | 9 | 0 | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | | |
STEP 12: BRING DOWN
|
| 0 | 9 | 0 | |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 1 | |
STEP 13: DIVIDE 41 : 7 = 5 with a remainder of 6
|
| 0 | 9 | 0 | 5 |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 1 | |
STEP 14: MULTIPLY 5 · 7 = 35
|
| 0 | 9 | 0 | 5 |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 1 | |
| | 3 | 5 | |
STEP 15: SUBTRACT 41 - 35 = 6
|
| 0 | 9 | 0 | 5 |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 5 | |
| | | 6 | |
STEP 15: SUBTRACT 41 - 35 = 6
|
| 0 | 9 | 0 | 5 |
7 | 6 | 3 | 4 | 1 |
– | 0 | | | |
| 6 | 3 | | |
– | 6 | 3 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 5 | |
| | | 6 | |
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