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What is the quotient and remainder when $ 3441 $ is divided by $ 22 $ ?
Answer
The quotient is 156 and the remainder is 9.
Explanation
Division Table
|
| | 0 | 1 | 5 | 6 |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | 1 |
| | – | 1 | 3 | 2 |
| | | | | 9 |
STEP 0: set up a division table
|
| | | | | |
2 | 2 | 3 | 4 | 4 | 1 |
STEP 1: DIVIDE 3 : 22 = 0 with a remainder of 3
|
| | 0 | | | |
2 | 2 | 3 | 4 | 4 | 1 |
STEP 2: MULTIPLY 0 · 22 = 0
|
| | 0 | | | |
2 | 2 | 3 | 4 | 4 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
STEP 5: DIVIDE 34 : 22 = 1 with a remainder of 12
|
| | 0 | 1 | | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
STEP 6: MULTIPLY 1 · 22 = 22
|
| | 0 | 1 | | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| | 2 | 2 | | |
STEP 7: SUBTRACT 34 - 22 = 12
|
| | 0 | 1 | | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
STEP 9: DIVIDE 124 : 22 = 5 with a remainder of 14
|
| | 0 | 1 | 5 | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
STEP 10: MULTIPLY 5 · 22 = 110
|
| | 0 | 1 | 5 | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| | 1 | 1 | 0 | |
STEP 11: SUBTRACT 124 - 110 = 14
|
| | 0 | 1 | 5 | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 5 | |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | 1 |
STEP 13: DIVIDE 141 : 22 = 6 with a remainder of 9
|
| | 0 | 1 | 5 | 6 |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | 1 |
STEP 14: MULTIPLY 6 · 22 = 132
|
| | 0 | 1 | 5 | 6 |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | 1 |
| | | 1 | 3 | 2 |
STEP 15: SUBTRACT 141 - 132 = 9
|
| | 0 | 1 | 5 | 6 |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | 1 |
| | – | 1 | 3 | 2 |
| | | | | 9 |
STEP 15: SUBTRACT 141 - 132 = 9
|
| | 0 | 1 | 5 | 6 |
2 | 2 | 3 | 4 | 4 | 1 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 2 | 2 | | |
| | 1 | 2 | 4 | |
| – | 1 | 1 | 0 | |
| | | 1 | 4 | 1 |
| | – | 1 | 3 | 2 |
| | | | | 9 |
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