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What is the quotient and remainder when $ 584 $ is divided by $ 22 $ ?
Answer
The quotient is 26 and the remainder is 12.
Explanation
Division Table
|
| | 0 | 2 | 6 |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | 4 |
| – | 1 | 3 | 2 |
| | | 1 | 2 |
STEP 0: set up a division table
|
| | | | |
2 | 2 | 5 | 8 | 4 |
STEP 1: DIVIDE 5 : 22 = 0 with a remainder of 5
|
| | 0 | | |
2 | 2 | 5 | 8 | 4 |
STEP 2: MULTIPLY 0 · 22 = 0
|
| | 0 | | |
2 | 2 | 5 | 8 | 4 |
| | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
STEP 5: DIVIDE 58 : 22 = 2 with a remainder of 14
|
| | 0 | 2 | |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
STEP 6: MULTIPLY 2 · 22 = 44
|
| | 0 | 2 | |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| | 4 | 4 | |
STEP 7: SUBTRACT 58 - 44 = 14
|
| | 0 | 2 | |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | |
STEP 8: BRING DOWN
|
| | 0 | 2 | |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | 4 |
STEP 9: DIVIDE 144 : 22 = 6 with a remainder of 12
|
| | 0 | 2 | 6 |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | 4 |
STEP 10: MULTIPLY 6 · 22 = 132
|
| | 0 | 2 | 6 |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | 4 |
| | 1 | 3 | 2 |
STEP 11: SUBTRACT 144 - 132 = 12
|
| | 0 | 2 | 6 |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | 4 |
| – | 1 | 3 | 2 |
| | | 1 | 2 |
STEP 11: SUBTRACT 144 - 132 = 12
|
| | 0 | 2 | 6 |
2 | 2 | 5 | 8 | 4 |
| – | 0 | | |
| | 5 | 8 | |
| – | 4 | 4 | |
| | 1 | 4 | 4 |
| – | 1 | 3 | 2 |
| | | 1 | 2 |
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