(1845 * 6 - 240: 3) - 345

To solve the expression \( (1845 * 6 - 240 : 3) - 345 \), we will follow the order of operations (PEMDAS/BODMAS).

1. First, calculate \( 1845 * 6 \): \[ 1845 * 6 = 11070 \]

2. Next, calculate \( 240 : 3 \) (which is the same as \( 240 / 3 \)): \[ 240 / 3 = 80 \]

3. Now substitute these values back into the expression: \[ (11070 - 80) - 345 \]

4. Perform the subtraction \( 11070 - 80 \): \[ 11070 - 80 = 11090 \]

5. Finally, subtract 345 from 11090: \[ 11090 - 345 = 10745 \]

So the final result is: \[ \boxed{10745} \]