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What is the quotient and remainder when $ 2205 $ is divided by $ 6 $ ?
Answer
The quotient is 367 and the remainder is 3.
Explanation
Division Table
|
| 0 | 3 | 6 | 7 |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 5 |
| | – | 4 | 2 |
| | | | 3 |
STEP 0: set up a division table
|
| | | | |
6 | 2 | 2 | 0 | 5 |
STEP 1: DIVIDE 2 : 6 = 0 with a remainder of 2
|
| 0 | | | |
6 | 2 | 2 | 0 | 5 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | | |
6 | 2 | 2 | 0 | 5 |
| 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
STEP 5: DIVIDE 22 : 6 = 3 with a remainder of 4
|
| 0 | 3 | | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
STEP 6: MULTIPLY 3 · 6 = 18
|
| 0 | 3 | | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
| 1 | 8 | | |
STEP 7: SUBTRACT 22 - 18 = 4
|
| 0 | 3 | | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | | |
STEP 8: BRING DOWN
|
| 0 | 3 | | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
STEP 9: DIVIDE 40 : 6 = 6 with a remainder of 4
|
| 0 | 3 | 6 | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
STEP 10: MULTIPLY 6 · 6 = 36
|
| 0 | 3 | 6 | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| | 3 | 6 | |
STEP 11: SUBTRACT 40 - 36 = 4
|
| 0 | 3 | 6 | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | |
STEP 12: BRING DOWN
|
| 0 | 3 | 6 | |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 5 |
STEP 13: DIVIDE 45 : 6 = 7 with a remainder of 3
|
| 0 | 3 | 6 | 7 |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 5 |
STEP 14: MULTIPLY 7 · 6 = 42
|
| 0 | 3 | 6 | 7 |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 5 |
| | | 4 | 2 |
STEP 15: SUBTRACT 45 - 42 = 3
|
| 0 | 3 | 6 | 7 |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 5 |
| | – | 4 | 2 |
| | | | 3 |
STEP 15: SUBTRACT 45 - 42 = 3
|
| 0 | 3 | 6 | 7 |
6 | 2 | 2 | 0 | 5 |
– | 0 | | | |
| 2 | 2 | | |
– | 1 | 8 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 5 |
| | – | 4 | 2 |
| | | | 3 |
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