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What is the quotient and remainder when $ 265 $ is divided by $ 22 $ ?
Answer
The quotient is 12 and the remainder is 1.
Explanation
Division Table
|
| | 0 | 1 | 2 |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | 5 |
| | – | 4 | 4 |
| | | | 1 |
STEP 0: set up a division table
|
| | | | |
2 | 2 | 2 | 6 | 5 |
STEP 1: DIVIDE 2 : 22 = 0 with a remainder of 2
|
| | 0 | | |
2 | 2 | 2 | 6 | 5 |
STEP 2: MULTIPLY 0 · 22 = 0
|
| | 0 | | |
2 | 2 | 2 | 6 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
STEP 5: DIVIDE 26 : 22 = 1 with a remainder of 4
|
| | 0 | 1 | |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
STEP 6: MULTIPLY 1 · 22 = 22
|
| | 0 | 1 | |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| | 2 | 2 | |
STEP 7: SUBTRACT 26 - 22 = 4
|
| | 0 | 1 | |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | 5 |
STEP 9: DIVIDE 45 : 22 = 2 with a remainder of 1
|
| | 0 | 1 | 2 |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | 5 |
STEP 10: MULTIPLY 2 · 22 = 44
|
| | 0 | 1 | 2 |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | 5 |
| | | 4 | 4 |
STEP 11: SUBTRACT 45 - 44 = 1
|
| | 0 | 1 | 2 |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | 5 |
| | – | 4 | 4 |
| | | | 1 |
STEP 11: SUBTRACT 45 - 44 = 1
|
| | 0 | 1 | 2 |
2 | 2 | 2 | 6 | 5 |
| – | 0 | | |
| | 2 | 6 | |
| – | 2 | 2 | |
| | | 4 | 5 |
| | – | 4 | 4 |
| | | | 1 |
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