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Question
What is the quotient and remainder when $ 827 $ is divided by $ 200 $ ?
Answer
The quotient is 4 and the remainder is 27.
Explanation
Division Table
|
| | | 0 | 0 | 4 |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | 7 |
| | – | 8 | 0 | 0 |
| | | | 2 | 7 |
STEP 0: set up a division table
|
| | | | | |
2 | 0 | 0 | 8 | 2 | 7 |
STEP 1: DIVIDE 8 : 200 = 0 with a remainder of 8
|
| | | 0 | | |
2 | 0 | 0 | 8 | 2 | 7 |
STEP 2: MULTIPLY 0 · 200 = 0
|
| | | 0 | | |
2 | 0 | 0 | 8 | 2 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
STEP 5: DIVIDE 82 : 200 = 0 with a remainder of 82
|
| | | 0 | 0 | |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
STEP 6: MULTIPLY 0 · 200 = 0
|
| | | 0 | 0 | |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | | 0 | |
STEP 7: SUBTRACT 82 - 0 = 82
|
| | | 0 | 0 | |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | 7 |
STEP 9: DIVIDE 827 : 200 = 4 with a remainder of 27
|
| | | 0 | 0 | 4 |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | 7 |
STEP 10: MULTIPLY 4 · 200 = 800
|
| | | 0 | 0 | 4 |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | 7 |
| | | 8 | 0 | 0 |
STEP 11: SUBTRACT 827 - 800 = 27
|
| | | 0 | 0 | 4 |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | 7 |
| | – | 8 | 0 | 0 |
| | | | 2 | 7 |
STEP 11: SUBTRACT 827 - 800 = 27
|
| | | 0 | 0 | 4 |
2 | 0 | 0 | 8 | 2 | 7 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | – | 0 | |
| | | 8 | 2 | 7 |
| | – | 8 | 0 | 0 |
| | | | 2 | 7 |
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