1. **State the problem:** Calculate $6.022 \times 10^{23} \times 480 \div 24$. 2. **Write the expression:** $$\frac{6.022 \times 10^{23} \times 480}{24}$$ 3. **Simplify the division first:** $$\frac{480}{24} = 20$$ 4. **Multiply the simplified value:** $$6.022 \times 10^{23} \times 20$$ 5. **Calculate the multiplication:** $$6.022 \times 20 = 120.44$$ 6. **Combine with the power of ten:** $$120.44 \times 10^{23} = 1.2044 \times 10^{25}$$ (rewriting $120.44$ as $1.2044 \times 10^{2}$ and adding exponents) 7. **Final answer:** $$1.2044 \times 10^{25}$$