1. **State the problem:** Solve for $j$ in the equation $$3j = 7.83$$. 2. **Formula and rules:** To isolate $j$, divide both sides of the equation by 3. Remember, dividing both sides by the same nonzero number keeps the equation balanced. 3. **Intermediate work:** $$3j = 7.83$$ Divide both sides by 3: $$\frac{\cancel{3}j}{\cancel{3}} = \frac{7.83}{3}$$ 4. **Simplify:** $$j = 2.61$$ 5. **Answer:** The value of $j$ is $2.61$.