To solve the expression \( 84 \cdot 703 - 312 + \frac{72640}{(40 \div 5)} + 3009 \cdot 240 \), we can follow the order of operations (PEMDAS/BODMAS).
Calculate the divisions: \[ 40 \div 5 = 8 \] Therefore, \[ \frac{72640}{8} = 9070 \]
Calculate the multiplications: \[ 84 \cdot 703 = 59172 \] \[ 3009 \cdot 240 = 722160 \]
Substituting back into the expression: \[ 59172 - 312 + 9070 + 722160 \]
Do additions and subtractions in order from left to right: \[ 59172 - 312 = 58860 \] \[ 58860 + 9070 = 67930 \] \[ 67930 + 722160 = 790090 \]
Thus, the final result is: \[ \boxed{790090} \]