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Question
What is the quotient and remainder when $ 529 $ is divided by $ 23 $ ?
Answer
The quotient is 23 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 3 |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | 9 |
| | | – | 6 | 9 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 3 | 5 | 2 | 9 |
STEP 1: DIVIDE 5 : 23 = 0 with a remainder of 5
|
| | | 0 | | |
| 2 | 3 | 5 | 2 | 9 |
STEP 2: MULTIPLY 0 · 23 = 0
|
| | | 0 | | |
| 2 | 3 | 5 | 2 | 9 |
| | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
STEP 5: DIVIDE 52 : 23 = 2 with a remainder of 6
|
| | | 0 | 2 | |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
STEP 6: MULTIPLY 2 · 23 = 46
|
| | | 0 | 2 | |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | | 4 | 6 | |
STEP 7: SUBTRACT 52 - 46 = 6
|
| | | 0 | 2 | |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | 9 |
STEP 9: DIVIDE 69 : 23 = 3 with a remainder of 0
|
| | | 0 | 2 | 3 |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | 9 |
STEP 10: MULTIPLY 3 · 23 = 69
|
| | | 0 | 2 | 3 |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | 9 |
| | | | 6 | 9 |
STEP 11: SUBTRACT 69 - 69 = 0
|
| | | 0 | 2 | 3 |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | 9 |
| | | – | 6 | 9 |
| | | | | 0 |
STEP 11: SUBTRACT 69 - 69 = 0
|
| | | 0 | 2 | 3 |
| 2 | 3 | 5 | 2 | 9 |
| | – | 0 | | |
| | | 5 | 2 | |
| | – | 4 | 6 | |
| | | | 6 | 9 |
| | | – | 6 | 9 |
| | | | | 0 |
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