1. **State the problem:** We need to divide 1253 by 15 and find the quotient and remainder. 2. **Formula and rules:** Division can be expressed as $$\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}$$ where the remainder is less than the divisor. 3. **Perform the division:** - Divide 1253 by 15. - 15 goes into 125 three times because $15 \times 8 = 120$ is less than 125 but $15 \times 9 = 135$ is too large. - So, $15 \times 8 = 120$, subtracting gives $125 - 120 = 5$. - Bring down the next digit 3, making 53. - 15 goes into 53 three times because $15 \times 3 = 45$. - Subtracting $53 - 45 = 8$. 4. **Write the quotient and remainder:** - Quotient is 83. - Remainder is 8. 5. **Express the result:** $$1253 = 15 \times 83 + 8$$ 6. **Optional decimal form:** - To get decimal, divide remainder by divisor: $\frac{8}{15} \approx 0.5333$. - So, $1253 \div 15 \approx 83.5333$. **Final answer:** Quotient is 83 with remainder 8, or approximately 83.5333.