1. **State the problem:** Divide 8033 by 9 and express the quotient with any remainder in decimal form. 2. **Recall the division formula:** $$\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}$$ 3. **Perform the division:** Divide 8033 by 9. 4. **Calculate the integer quotient:** $$9 \times 892 = 8028$$ Since $$8028 < 8033$$, the quotient is 892. 5. **Calculate the remainder:** $$8033 - 8028 = 5$$ 6. **Express the remainder as a decimal:** To convert the remainder to decimal, divide the remainder by the divisor: $$\frac{5}{9} = 0.\overline{5}$$ The bar over 5 indicates that 5 repeats indefinitely. 7. **Write the final answer:** $$8033 \div 9 = 892.\overline{5}$$ **Summary:** The quotient is 892 with a repeating decimal 0.555... (5 repeating).