Subjects arithmetic

Division Decimals 80E521

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1. **State the problem:** We need to find the result of dividing 17.34 by 3.4. 2. **Write the division expression:** $$\frac{17.34}{3.4}$$ 3. **Eliminate the decimal in the divisor:** Multiply numerator and denominator by 10 to make the divisor a whole number: $$\frac{17.34 \times 10}{3.4 \times 10} = \frac{173.4}{34}$$ 4. **Perform the division:** Divide 173.4 by 34. 5. **Calculate:** $$34 \times 5 = 170$$ Subtract 170 from 173.4: $$173.4 - 170 = 3.4$$ Bring down the decimal and continue dividing: $$\frac{3.4}{34} = 0.1$$ 6. **Add the quotient parts:** $$5 + 0.1 = 5.1$$ **Final answer:** $$\boxed{5.1}$$