1. **State the problem:** Divide 693,684 by 20 and find the quotient and remainder. 2. **Formula and rules:** When dividing whole numbers, 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:** $$693,684 \div 20$$ 4. Divide step-by-step: - First, divide 693,684 by 20. - Since 20 goes into 693,684, we calculate: $$\frac{693,684}{20} = 34,684.2$$ 5. To find the quotient and remainder: - Quotient is the integer part: 34,684 - Remainder is the fractional part times divisor: $$0.2 \times 20 = 4$$ 6. **Check using the division algorithm:** $$20 \times 34,684 + 4 = 693,680 + 4 = 693,684$$ which matches the dividend. **Final answer:** $$693,684 \div 20 = 34,684 \text{ R } 4$$