Let's solve the expression step by step:
First, calculate \( 1845 \times 6 \): \[ 1845 \times 6 = 11070 \]
Next, calculate \( 240 \div 3 \): \[ 240 \div 3 = 80 \]
Now, substitute these values into the expression: \[ (11070 - 80) - 345 \]
Now, calculate \( 11070 - 80 \): \[ 11070 - 80 = 11090 \]
Finally, calculate \( 11090 - 345 \): \[ 11090 - 345 = 10745 \]
Therefore, the final result is: \[ \boxed{10745} \]