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Question
What is the quotient and remainder when $ 1800 $ is divided by $ 25000 $ ?
Answer
The quotient is 0 and the remainder is 1800.
Explanation
Division Table
|
| | | | | 0 | 0 | 0 | 0 |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | 0 |
| | | | | | | – | 0 |
| | | | | 1 | 8 | 0 | 0 |
STEP 0: set up a division table
|
| | | | | | | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
STEP 1: DIVIDE 1 : 25000 = 0 with a remainder of 1
|
| | | | | 0 | | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
STEP 2: MULTIPLY 0 · 25000 = 0
|
| | | | | 0 | | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | | 0 | | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | | | |
STEP 4: BRING DOWN
|
| | | | | 0 | | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
STEP 5: DIVIDE 18 : 25000 = 0 with a remainder of 18
|
| | | | | 0 | 0 | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
STEP 6: MULTIPLY 0 · 25000 = 0
|
| | | | | 0 | 0 | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | | 0 | | |
STEP 7: SUBTRACT 18 - 0 = 18
|
| | | | | 0 | 0 | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | | |
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
STEP 9: DIVIDE 180 : 25000 = 0 with a remainder of 180
|
| | | | | 0 | 0 | 0 | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
STEP 10: MULTIPLY 0 · 25000 = 0
|
| | | | | 0 | 0 | 0 | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | | 0 | |
STEP 11: SUBTRACT 180 - 0 = 180
|
| | | | | 0 | 0 | 0 | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | |
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | 0 |
STEP 13: DIVIDE 1800 : 25000 = 0 with a remainder of 1800
|
| | | | | 0 | 0 | 0 | 0 |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | 0 |
STEP 14: MULTIPLY 0 · 25000 = 0
|
| | | | | 0 | 0 | 0 | 0 |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | 0 |
| | | | | | | | 0 |
STEP 15: SUBTRACT 1800 - 0 = 1800
|
| | | | | 0 | 0 | 0 | 0 |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | 0 |
| | | | | | | – | 0 |
| | | | | 1 | 8 | 0 | 0 |
STEP 15: SUBTRACT 1800 - 0 = 1800
|
| | | | | 0 | 0 | 0 | 0 |
2 | 5 | 0 | 0 | 0 | 1 | 8 | 0 | 0 |
| | | | – | 0 | | | |
| | | | | 1 | 8 | | |
| | | | | – | 0 | | |
| | | | | 1 | 8 | 0 | |
| | | | | | – | 0 | |
| | | | | 1 | 8 | 0 | 0 |
| | | | | | | – | 0 |
| | | | | 1 | 8 | 0 | 0 |
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