1. **State the problem:** We need to find the result of dividing 2 by 3. 2. **Formula:** Division of two numbers $a$ and $b$ (where $b \neq 0$) is given by: $$\frac{a}{b}$$ 3. **Apply the formula:** Here, $a=2$ and $b=3$, so: $$\frac{2}{3}$$ 4. **Simplification:** The fraction $\frac{2}{3}$ is already in its simplest form because 2 and 3 have no common factors other than 1. 5. **Final answer:** $$\frac{2}{3}$$