1. **State the problem:** Divide 787 by 19 using long division. 2. **Formula and rules:** Long division involves dividing the dividend (787) by the divisor (19) step-by-step, estimating how many times the divisor fits into parts of the dividend. 3. **Step 1: Estimate how many times 19 goes into 78.** - Approximate 78 as 80 and 19 as 20. - Since $80 \div 20 = 4$, try 4 as the first digit of the quotient. 4. **Step 2: Multiply and subtract.** - Multiply $19 \times 4 = 76$. - Subtract $78 - 76 = 2$. 5. **Step 3: Bring down the next digit (7), making 27.** - Determine how many times 19 fits into 27. - 19 fits once into 27. 6. **Step 4: Multiply and subtract again.** - Multiply $19 \times 1 = 19$. - Subtract $27 - 19 = 8$. 7. **Step 5: Write the quotient and remainder.** - Quotient is $41$. - Remainder is $8$. 8. **Final answer:** $$787 \div 19 = 41 \text{ R } 8$$