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What is the quotient and remainder when $ 3476 $ is divided by $ 6 $ ?
Answer
The quotient is 579 and the remainder is 2.
Explanation
Division Table
|
| 0 | 5 | 7 | 9 |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | – | 5 | 4 |
| | | | 2 |
STEP 0: set up a division table
|
| | | | |
6 | 3 | 4 | 7 | 6 |
STEP 1: DIVIDE 3 : 6 = 0 with a remainder of 3
|
| 0 | | | |
6 | 3 | 4 | 7 | 6 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | | |
6 | 3 | 4 | 7 | 6 |
| 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
STEP 5: DIVIDE 34 : 6 = 5 with a remainder of 4
|
| 0 | 5 | | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
STEP 6: MULTIPLY 5 · 6 = 30
|
| 0 | 5 | | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
| 3 | 0 | | |
STEP 7: SUBTRACT 34 - 30 = 4
|
| 0 | 5 | | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | | |
STEP 8: BRING DOWN
|
| 0 | 5 | | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
STEP 9: DIVIDE 47 : 6 = 7 with a remainder of 5
|
| 0 | 5 | 7 | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
STEP 10: MULTIPLY 7 · 6 = 42
|
| 0 | 5 | 7 | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| | 4 | 2 | |
STEP 11: SUBTRACT 47 - 42 = 5
|
| 0 | 5 | 7 | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | |
STEP 12: BRING DOWN
|
| 0 | 5 | 7 | |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
STEP 13: DIVIDE 56 : 6 = 9 with a remainder of 2
|
| 0 | 5 | 7 | 9 |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
STEP 14: MULTIPLY 9 · 6 = 54
|
| 0 | 5 | 7 | 9 |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | | 5 | 4 |
STEP 15: SUBTRACT 56 - 54 = 2
|
| 0 | 5 | 7 | 9 |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | – | 5 | 4 |
| | | | 2 |
STEP 15: SUBTRACT 56 - 54 = 2
|
| 0 | 5 | 7 | 9 |
6 | 3 | 4 | 7 | 6 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 0 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | – | 5 | 4 |
| | | | 2 |
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