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Step 1:I'll solve this problem step by step following the specified LaTeX formatting guidelines:
Step 2:: Set up the division problem
We need to divide $$125$$ by $$3$$.
Step 3:: Perform long division
\frac{125}{3} = 41 \text{ remainder } 2
Step 4:: Verify the calculation
- $$41 \times 3 = 123
- 125 - 123 = 2 (remainder)
Step 5:: Express the result as a mixed number or decimal
- As a mixed number: $$41\frac{2}{3}
- As a decimal: 41.666... (repeating)
Final Answer
\frac{125}{3} = 41\frac{2}{3} or 41.666... (with a remainder of 2)
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