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What is the quotient and remainder when $ 825 $ is divided by $ 6 $ ?
Answer
The quotient is 137 and the remainder is 3.
Explanation
Division Table
|
| 1 | 3 | 7 |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | 5 |
| – | 4 | 2 |
| | | 3 |
STEP 0: set up a division table
|
| | | |
6 | 8 | 2 | 5 |
STEP 1: DIVIDE 8 : 6 = 1 with a remainder of 2
|
| 1 | | |
6 | 8 | 2 | 5 |
STEP 2: MULTIPLY 1 · 6 = 6
|
| 1 | | |
6 | 8 | 2 | 5 |
| 6 | | |
STEP 3: SUBTRACT 8 - 6 = 2
|
| 1 | | |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | | |
STEP 4: BRING DOWN
|
| 1 | | |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
STEP 5: DIVIDE 22 : 6 = 3 with a remainder of 4
|
| 1 | 3 | |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
STEP 6: MULTIPLY 3 · 6 = 18
|
| 1 | 3 | |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
| 1 | 8 | |
STEP 7: SUBTRACT 22 - 18 = 4
|
| 1 | 3 | |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | |
STEP 8: BRING DOWN
|
| 1 | 3 | |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | 5 |
STEP 9: DIVIDE 45 : 6 = 7 with a remainder of 3
|
| 1 | 3 | 7 |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | 5 |
STEP 10: MULTIPLY 7 · 6 = 42
|
| 1 | 3 | 7 |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | 5 |
| | 4 | 2 |
STEP 11: SUBTRACT 45 - 42 = 3
|
| 1 | 3 | 7 |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | 5 |
| – | 4 | 2 |
| | | 3 |
STEP 11: SUBTRACT 45 - 42 = 3
|
| 1 | 3 | 7 |
6 | 8 | 2 | 5 |
– | 6 | | |
| 2 | 2 | |
– | 1 | 8 | |
| | 4 | 5 |
| – | 4 | 2 |
| | | 3 |
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