1. **State the problem:** We need to find the quotient and remainder when dividing 853 by 53. 2. **Perform the division:** Divide 853 by 53. Calculate the integer part of the quotient: $$\left\lfloor \frac{853}{53} \right\rfloor = 16$$ 3. **Calculate the remainder:** Multiply the quotient by the divisor and subtract from the dividend: $$53 \times 16 = 848$$ $$853 - 848 = 5$$ 4. **Interpret the result:** The quotient is 16 and the remainder is 5. 5. **Final answer:** $$853 \div 53 = 16 \text{ R } 5$$