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Question
What is the quotient and remainder when $ 800 $ is divided by $ 569 $ ?
Answer
The quotient is 1 and the remainder is 231.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | 0 |
| | | – | 5 | 6 | 9 |
| | | | 2 | 3 | 1 |
STEP 0: set up a division table
|
| | | | | | |
| 5 | 6 | 9 | 8 | 0 | 0 |
STEP 1: DIVIDE 8 : 569 = 0 with a remainder of 8
|
| | | | 0 | | |
| 5 | 6 | 9 | 8 | 0 | 0 |
STEP 2: MULTIPLY 0 · 569 = 0
|
| | | | 0 | | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | 0 | | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
STEP 5: DIVIDE 80 : 569 = 0 with a remainder of 80
|
| | | | 0 | 0 | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
STEP 6: MULTIPLY 0 · 569 = 0
|
| | | | 0 | 0 | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | | 0 | |
STEP 7: SUBTRACT 80 - 0 = 80
|
| | | | 0 | 0 | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | 0 |
STEP 9: DIVIDE 800 : 569 = 1 with a remainder of 231
|
| | | | 0 | 0 | 1 |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | 0 |
STEP 10: MULTIPLY 1 · 569 = 569
|
| | | | 0 | 0 | 1 |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | 0 |
| | | | 5 | 6 | 9 |
STEP 11: SUBTRACT 800 - 569 = 231
|
| | | | 0 | 0 | 1 |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | 0 |
| | | – | 5 | 6 | 9 |
| | | | 2 | 3 | 1 |
STEP 11: SUBTRACT 800 - 569 = 231
|
| | | | 0 | 0 | 1 |
| 5 | 6 | 9 | 8 | 0 | 0 |
| | | – | 0 | | |
| | | | 8 | 0 | |
| | | | – | 0 | |
| | | | 8 | 0 | 0 |
| | | – | 5 | 6 | 9 |
| | | | 2 | 3 | 1 |
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