1. **State the problem:** Calculate the value of the expression $\frac{82}{3} \times 33 + 12$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right before addition. 3. **Calculate the multiplication first:** $$\frac{82}{3} \times 33 = \frac{82 \times 33}{3}$$ 4. **Simplify the fraction:** $$\frac{82 \times 33}{3} = 82 \times \frac{33}{3} = 82 \times 11 = 902$$ 5. **Add 12 to the result:** $$902 + 12 = 914$$ 6. **Final answer:** $$914$$