To solve the expression ( 47 \times 304 - 9306 \div (1357 - 24 \times 35) ), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

First, we need to calculate inside the parentheses:
[
24 \times 35 = 840
]
Now substitute this back into the expression:
[
1357 - 840
]
Now calculate that:
[
1357 - 840 = 517
]

Next, we can now evaluate the division:
[
9306 \div 517
]
Performing the division gives:
[
9306 \div 517 \approx 18
]

Now we substitute back into the original expression:
[
47 \times 304 - 18
]

Calculate ( 47 \times 304 ):
[
47 \times 304 = 14288
]

Finally, perform the subtraction:
[
14288 - 18 = 14270
]

Thus, the final answer is:
[
\boxed{14270}
]