1. **State the problem:** We need to divide 477 by 29 using long division. 2. **Recall the division formula:** For integers, 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 47 (first two digits of 477) by 29. Since 29 goes into 47 once, write 1 in the quotient. - Multiply 1 by 29 to get 29. - Subtract 29 from 47: $$47 - 29 = 18$$. - Bring down the next digit 7, making the new number 187. - Divide 187 by 29. Since 29 times 6 is 174 and 29 times 7 is 203 (too big), use 6. - Write 6 in the quotient next to 1, making the quotient 16. - Multiply 6 by 29: $$6 \times 29 = 174$$. - Subtract 174 from 187: $$187 - 174 = 13$$. 4. **Result:** Quotient is 16 and remainder is 13. 5. **Verification:** $$29 \times 16 + 13 = 464 + 13 = 477$$ which matches the dividend. **Final answer:** Quotient = 16, Remainder = 13.