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What is the quotient and remainder when $ 366 $ is divided by $ 6 $ ?
Answer
The quotient is 61 and the remainder is 0.
Explanation
Division Table
|
| 0 | 6 | 1 |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 6 | |
| – | 6 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
6 | 3 | 6 | 6 |
STEP 1: DIVIDE 3 : 6 = 0 with a remainder of 3
|
| 0 | | |
6 | 3 | 6 | 6 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | |
6 | 3 | 6 | 6 |
| 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | | |
STEP 4: BRING DOWN
|
| 0 | | |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
STEP 5: DIVIDE 36 : 6 = 6 with a remainder of 0
|
| 0 | 6 | |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
STEP 6: MULTIPLY 6 · 6 = 36
|
| 0 | 6 | |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
| 3 | 6 | |
STEP 7: SUBTRACT 36 - 36 = 0
|
| 0 | 6 | |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 0 | |
STEP 8: BRING DOWN
|
| 0 | 6 | |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 6 | |
STEP 9: DIVIDE 6 : 6 = 1 with a remainder of 0
|
| 0 | 6 | 1 |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 6 | |
STEP 10: MULTIPLY 1 · 6 = 6
|
| 0 | 6 | 1 |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 6 | |
| | 6 | |
STEP 11: SUBTRACT 6 - 6 = 0
|
| 0 | 6 | 1 |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 6 | |
| – | 6 | |
| | 0 | |
STEP 11: SUBTRACT 6 - 6 = 0
|
| 0 | 6 | 1 |
6 | 3 | 6 | 6 |
– | 0 | | |
| 3 | 6 | |
– | 3 | 6 | |
| | 6 | |
| – | 6 | |
| | 0 | |
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