84•703-312+72640:(40:5)+3009•240

To evaluate the expression \( 84 \cdot 703 - 312 + \frac{72640}{(40 \div 5)} + 3009 \cdot 240 \), we'll follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right):

1. Calculate the division in the denominator: \[ 40 \div 5 = 8 \]

2. Substitute this back into the expression: \[ 84 \cdot 703 - 312 + \frac{72640}{8} + 3009 \cdot 240 \]

3. Calculate the multiplication: \[ 84 \cdot 703 = 59052 \] \[ 3009 \cdot 240 = 722160 \]

4. Calculate the division: \[ \frac{72640}{8} = 9080 \]

5. Substituting these values back into the expression: \[ 59052 - 312 + 9080 + 722160 \]

6. Now perform the subtraction and addition from left to right: \[ 59052 - 312 = 58740 \] \[ 58740 + 9080 = 67820 \] \[ 67820 + 722160 = 790980 \]

The final result is: \[ \boxed{790980} \]