1. **State the problem:** We need to verify if the equation $18 \div 0.4 = 180 \div 4$ is true. 2. **Rewrite the division for clarity:** $$18 \div 0.4 = \frac{18}{0.4}$$ and $$180 \div 4 = \frac{180}{4}$$ 3. **Simplify the left side:** To divide by a decimal, multiply numerator and denominator by 10 to remove the decimal: $$\frac{18}{0.4} = \frac{18 \times 10}{0.4 \times 10} = \frac{180}{4}$$ 4. **Notice that both sides are now the same:** $$\frac{180}{4} = \frac{180}{4}$$ 5. **Calculate the value:** $$\frac{180}{4} = 45$$ 6. **Conclusion:** Both sides equal 45, so the equation is true. **Final answer:** $$18 \div 0.4 = 180 \div 4 = 45$$