209,57-1845,69:((81,3-78,5)•(47,7-41,1))

To solve the expression \( 209.57 - 1845.69 \div ((81.3 - 78.5) \cdot (47.7 - 41.1)) \), we will follow the order of operations: parentheses first, then division, and finally subtraction.

1. Calculate the values inside the parentheses:

   • \( 81.3 - 78.5 = 2.8 \)
   • \( 47.7 - 41.1 = 6.6 \)

2. Multiply the results:

   • \( (81.3 - 78.5) \cdot (47.7 - 41.1) = 2.8 \cdot 6.6 = 18.48 \)

3. Now perform the division:

   • \( 1845.69 \div 18.48 \approx 99.8 \)

4. Finally, perform the subtraction:

   • \( 209.57 - 99.8 \approx 109.77 \)

Thus, the result of the expression is approximately \( 109.77 \).