To convert 338 to a decimal using long division, we assume that we're dividing 338 by 100 (since we want to express it in decimal form as in "per hundred").
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Start with 338 and divide by 100:
- 100 goes into 338 three times (300).
- Subtract 300 from 338 to get a remainder of 38.
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Since we want a decimal, we can append a decimal point to the dividend, making it 338.0.
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Now we treat the remainder 38 as 380 (by considering two decimal places):
- 100 goes into 380 three times (300).
- Subtract 300 from 380 to get a remainder of 80.
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Now treat 80 as 800:
- 100 goes into 800 eight times (800).
- Subtract 800 from 800 to get a remainder of 0.
So, the long division gives us:
338 รท 100 = 3.38
Based on the options provided, it seems there might be a misunderstanding, or you might be looking to find a conversion to a different base or divide by another number.
Note: There seems to be no correct answer in the provided options (3.375, 2.66, 33.75, 0.375), since 338 as a decimal by division with 100 equals 3.38.
Please verify the question's context, or if the division needs to be done with a different divisor.