1. **State the problem:** We need to divide 700 by 26 and find the quotient and remainder. 2. **Formula and rules:** When dividing integers, the division algorithm states: $$a = bq + r$$ where $a$ is the dividend, $b$ is the divisor, $q$ is the quotient, and $r$ is the remainder with $0 \leq r < b$. 3. **Perform the division:** Divide 700 by 26: $$700 \div 26 = ?$$ 4. **Calculate the quotient:** Find the largest integer $q$ such that $26q \leq 700$. Calculate: $$26 \times 26 = 676 \leq 700$$ $$26 \times 27 = 702 > 700$$ So, $q = 26$. 5. **Calculate the remainder:** $$r = 700 - 26 \times 26 = 700 - 676 = 24$$ 6. **Final answer:** $$700 \div 26 = 26 \text{ R } 24$$ The quotient is 26 and the remainder is 24.