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Question
What is the quotient and remainder when $ 345 $ is divided by $ 22 $ ?
Answer
The quotient is 15 and the remainder is 15.
Explanation
|
Division Table
|
| | | 0 | 1 | 5 |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | 5 |
| | – | 1 | 1 | 0 |
| | | | 1 | 5 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 2 | 3 | 4 | 5 |
STEP 1: DIVIDE 3 : 22 = 0 with a remainder of 3
|
| | | 0 | | |
| 2 | 2 | 3 | 4 | 5 |
STEP 2: MULTIPLY 0 · 22 = 0
|
| | | 0 | | |
| 2 | 2 | 3 | 4 | 5 |
| | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
STEP 5: DIVIDE 34 : 22 = 1 with a remainder of 12
|
| | | 0 | 1 | |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
STEP 6: MULTIPLY 1 · 22 = 22
|
| | | 0 | 1 | |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | | 2 | 2 | |
STEP 7: SUBTRACT 34 - 22 = 12
|
| | | 0 | 1 | |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | 5 |
STEP 9: DIVIDE 125 : 22 = 5 with a remainder of 15
|
| | | 0 | 1 | 5 |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | 5 |
STEP 10: MULTIPLY 5 · 22 = 110
|
| | | 0 | 1 | 5 |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | 5 |
| | | 1 | 1 | 0 |
STEP 11: SUBTRACT 125 - 110 = 15
|
| | | 0 | 1 | 5 |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | 5 |
| | – | 1 | 1 | 0 |
| | | | 1 | 5 |
STEP 11: SUBTRACT 125 - 110 = 15
|
| | | 0 | 1 | 5 |
| 2 | 2 | 3 | 4 | 5 |
| | – | 0 | | |
| | | 3 | 4 | |
| | – | 2 | 2 | |
| | | 1 | 2 | 5 |
| | – | 1 | 1 | 0 |
| | | | 1 | 5 |
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