1. **State the problem:** Calculate the value of $1.5 \times 10^{-3}$ divided by $311 \times 10$. 2. **Write the expression:** $$\frac{1.5 \times 10^{-3}}{311 \times 10}$$ 3. **Simplify the denominator:** $$311 \times 10 = 3110$$ 4. **Rewrite the division:** $$\frac{1.5 \times 10^{-3}}{3110}$$ 5. **Divide the numbers:** Calculate $\frac{1.5}{3110} = 0.0004823$ (approximate). 6. **Include the power of ten:** Multiply by $10^{-3}$: $$0.0004823 \times 10^{-3} = 0.0004823 \times 0.001 = 4.823 \times 10^{-7}$$ 7. **Final answer:** $$\boxed{4.823 \times 10^{-7}}$$ This means the result of dividing $1.5 \times 10^{-3}$ by $311 \times 10$ is approximately $4.823 \times 10^{-7}$.