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What is the quotient and remainder when $ 576 $ is divided by $ 3 $ ?
Answer
The quotient is 192 and the remainder is 0.
Explanation
Division Table
|
| 1 | 9 | 2 |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 6 | |
| – | 6 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
3 | 5 | 7 | 6 |
STEP 1: DIVIDE 5 : 3 = 1 with a remainder of 2
|
| 1 | | |
3 | 5 | 7 | 6 |
STEP 2: MULTIPLY 1 · 3 = 3
|
| 1 | | |
3 | 5 | 7 | 6 |
| 3 | | |
STEP 3: SUBTRACT 5 - 3 = 2
|
| 1 | | |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | | |
STEP 4: BRING DOWN
|
| 1 | | |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
STEP 5: DIVIDE 27 : 3 = 9 with a remainder of 0
|
| 1 | 9 | |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
STEP 6: MULTIPLY 9 · 3 = 27
|
| 1 | 9 | |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
| 2 | 7 | |
STEP 7: SUBTRACT 27 - 27 = 0
|
| 1 | 9 | |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 0 | |
STEP 8: BRING DOWN
|
| 1 | 9 | |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 6 | |
STEP 9: DIVIDE 6 : 3 = 2 with a remainder of 0
|
| 1 | 9 | 2 |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 6 | |
STEP 10: MULTIPLY 2 · 3 = 6
|
| 1 | 9 | 2 |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 6 | |
| | 6 | |
STEP 11: SUBTRACT 6 - 6 = 0
|
| 1 | 9 | 2 |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 6 | |
| – | 6 | |
| | 0 | |
STEP 11: SUBTRACT 6 - 6 = 0
|
| 1 | 9 | 2 |
3 | 5 | 7 | 6 |
– | 3 | | |
| 2 | 7 | |
– | 2 | 7 | |
| | 6 | |
| – | 6 | |
| | 0 | |
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