1. **State the problem:** Divide 1283 by 18 and find the quotient and remainder. 2. **Formula and rules:** When dividing integers, the division algorithm states: $$\text{dividend} = (\text{divisor} \times \text{quotient}) + \text{remainder}$$ where the remainder is less than the divisor. 3. **Perform the division:** - Divide 1283 by 18. - Calculate the quotient: $$\frac{1283}{18} = 71.277...$$ so the integer quotient is 71. 4. **Calculate the remainder:** $$\text{remainder} = 1283 - (18 \times 71)$$ $$= 1283 - 1278$$ $$= 5$$ 5. **Check the result:** $$1283 = (18 \times 71) + 5$$ $$1283 = 1278 + 5$$ which is true. **Final answer:** Quotient = 71, Remainder = 5