Subjects arithmetic

Decimal Division D7323A

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1. **State the problem:** We need to divide 5.2 by 2.6, written as $2.6 \lrcorner 5.2$. 2. **Recall the division formula:** Division is finding how many times the divisor fits into the dividend. Here, we want to find $\frac{5.2}{2.6}$. 3. **Simplify the division by removing decimals:** Multiply numerator and denominator by 10 to clear decimals: $$\frac{5.2}{2.6} = \frac{5.2 \times 10}{2.6 \times 10} = \frac{52}{26}$$ 4. **Simplify the fraction:** Both numerator and denominator are divisible by 26: $$\frac{52}{26} = \frac{\cancel{52}^{2 \times 26}}{\cancel{26}} = 2$$ 5. **Interpretation:** The quotient is 2, meaning 2.6 fits into 5.2 exactly 2 times. **Final answer:** $$\boxed{2}$$