1. **State the problem:** Perform the division $2 \div 39$ using long division. 2. **Set up the division:** The divisor is 2 and the dividend is 39. 3. **Divide the first digit:** 2 goes into 3 one time because $2 \times 1 = 2$ which is less than 3. 4. **Subtract:** $3 - 2 = 1$. 5. **Bring down the next digit:** Bring down 9 to make 19. 6. **Divide again:** 2 goes into 19 nine times because $2 \times 9 = 18$ which is less than 19. 7. **Subtract:** $19 - 18 = 1$. 8. **Result:** The quotient is 19 and the remainder is 1. **Final answer:** Quotient = $19$, Remainder = $1$.