1. **State the problem:** Calculate the value of the expression $203 \times 26 - \frac{3292 + 2579}{57}$.\n\n2. **Apply the order of operations:** First, perform multiplication and addition inside the numerator, then division, and finally subtraction.\n\n3. Calculate $203 \times 26$: $$203 \times 26 = 5278.$$\n\n4. Calculate the sum inside the numerator: $$3292 + 2579 = 5871.$$\n\n5. Divide the sum by 57: $$\frac{5871}{57} = 103.$$\n\n6. Subtract the division result from the multiplication result: $$5278 - 103 = 5175.$$\n\n**Final answer:** $5175$