1. **State the problem:** Calculate the value of the expression $5000 \div 3 \times 56 + 5 - 3$. 2. **Recall the order of operations:** According to PEMDAS/BODMAS, division and multiplication are performed from left to right before addition and subtraction. 3. **Perform the division first:** $$5000 \div 3 = \frac{5000}{3} \approx 1666.67$$ 4. **Multiply the result by 56:** $$1666.67 \times 56 = 93333.52$$ 5. **Add 5:** $$93333.52 + 5 = 93338.52$$ 6. **Subtract 3:** $$93338.52 - 3 = 93335.52$$ **Final answer:** $$93335.52$$