1. **State the problem:** Divide 1.640 by 8 using the column (long division) method. 2. **Set up the division:** Write 1.640 as the dividend inside the division bracket and 8 as the divisor outside. 3. **Divide step-by-step:** - Divide 16 by 8: $$\frac{16}{8} = 2$$. Write 2 above the division bar. - Multiply 2 by 8: $$2 \times 8 = 16$$. - Subtract: $$16 - 16 = 0$$. - Bring down the next digit 4. - Divide 4 by 8: $$\frac{4}{8} = 0$$ (since 4 is less than 8). Write 0 above the division bar. - Multiply 0 by 8: $$0 \times 8 = 0$$. - Subtract: $$4 - 0 = 4$$. - Bring down the next digit 0. - Divide 40 by 8: $$\frac{40}{8} = 5$$. Write 5 above the division bar. - Multiply 5 by 8: $$5 \times 8 = 40$$. - Subtract: $$40 - 40 = 0$$. 4. **Combine the quotient digits:** The quotient is 0.205. 5. **Final answer:** $$1.640 \div 8 = 0.205$$