1. The problem is to divide 785 by 9 using long division. 2. The formula for division is: $$\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}$$ 3. Start dividing the first digit of the dividend by 9. Since 7 is less than 9, consider the first two digits 78. 4. Divide 78 by 9: $$9 \times 8 = 72$$ which is less than 78. 5. Subtract 72 from 78: $$78 - 72 = 6$$ 6. Bring down the next digit 5, making the new number 65. 7. Divide 65 by 9: $$9 \times 7 = 63$$ which is less than 65. 8. Subtract 63 from 65: $$65 - 63 = 2$$ 9. Since there are no more digits to bring down, 2 is the remainder. 10. The quotient is formed by the numbers on top: 87, and the remainder is 2. 11. So, $$785 \div 9 = 87 \text{ remainder } 2$$ or as a mixed number $$87 + \frac{2}{9}$$. Final answer: $$87 \text{ R } 2$$