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Question
What is the quotient and remainder when $ 809899 $ is divided by $ 529 $ ?
Answer
The quotient is 1531 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 | 5 | 3 | 1 |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | 9 |
| | | | | | – | 5 | 2 | 9 |
| | | | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
STEP 1: DIVIDE 8 : 529 = 0 with a remainder of 8
|
| | | | 0 | | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
STEP 2: MULTIPLY 0 · 529 = 0
|
| | | | 0 | | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | | 0 | | | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | 0 | | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
STEP 5: DIVIDE 80 : 529 = 0 with a remainder of 80
|
| | | | 0 | 0 | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
STEP 6: MULTIPLY 0 · 529 = 0
|
| | | | 0 | 0 | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | | 0 | | | | |
STEP 7: SUBTRACT 80 - 0 = 80
|
| | | | 0 | 0 | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
STEP 9: DIVIDE 809 : 529 = 1 with a remainder of 280
|
| | | | 0 | 0 | 1 | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
STEP 10: MULTIPLY 1 · 529 = 529
|
| | | | 0 | 0 | 1 | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | | 5 | 2 | 9 | | | |
STEP 11: SUBTRACT 809 - 529 = 280
|
| | | | 0 | 0 | 1 | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 1 | | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
STEP 13: DIVIDE 2808 : 529 = 5 with a remainder of 163
|
| | | | 0 | 0 | 1 | 5 | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
STEP 14: MULTIPLY 5 · 529 = 2645
|
| | | | 0 | 0 | 1 | 5 | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | | 2 | 6 | 4 | 5 | | |
STEP 15: SUBTRACT 2808 - 2645 = 163
|
| | | | 0 | 0 | 1 | 5 | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 1 | 5 | | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
STEP 17: DIVIDE 1639 : 529 = 3 with a remainder of 52
|
| | | | 0 | 0 | 1 | 5 | 3 | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
STEP 18: MULTIPLY 3 · 529 = 1587
|
| | | | 0 | 0 | 1 | 5 | 3 | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | | 1 | 5 | 8 | 7 | |
STEP 19: SUBTRACT 1639 - 1587 = 52
|
| | | | 0 | 0 | 1 | 5 | 3 | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | |
|
STEP 20: BRING DOWN
|
| | | | 0 | 0 | 1 | 5 | 3 | |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | 9 |
STEP 21: DIVIDE 529 : 529 = 1 with a remainder of 0
|
| | | | 0 | 0 | 1 | 5 | 3 | 1 |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | 9 |
STEP 22: MULTIPLY 1 · 529 = 529
|
| | | | 0 | 0 | 1 | 5 | 3 | 1 |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | 9 |
| | | | | | | 5 | 2 | 9 |
STEP 23: SUBTRACT 529 - 529 = 0
|
| | | | 0 | 0 | 1 | 5 | 3 | 1 |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | 9 |
| | | | | | – | 5 | 2 | 9 |
| | | | | | | | | 0 |
STEP 23: SUBTRACT 529 - 529 = 0
|
| | | | 0 | 0 | 1 | 5 | 3 | 1 |
| 5 | 2 | 9 | 8 | 0 | 9 | 8 | 9 | 9 |
| | | – | 0 | | | | | |
| | | | 8 | 0 | | | | |
| | | | – | 0 | | | | |
| | | | 8 | 0 | 9 | | | |
| | | – | 5 | 2 | 9 | | | |
| | | | 2 | 8 | 0 | 8 | | |
| | | – | 2 | 6 | 4 | 5 | | |
| | | | | 1 | 6 | 3 | 9 | |
| | | | – | 1 | 5 | 8 | 7 | |
| | | | | | | 5 | 2 | 9 |
| | | | | | – | 5 | 2 | 9 |
| | | | | | | | | 0 |
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