1. The problem is to multiply 57 by 613. 2. The multiplication formula is straightforward: multiply each digit of the second number by the entire first number, then add the results properly shifted by place value. 3. Multiply 57 by 3 (units digit of 613): $$57 \times 3 = 171$$ 4. Multiply 57 by 1 (tens digit of 613), then multiply by 10: $$57 \times 1 = 57$$ $$57 \times 10 = 570$$ 5. Multiply 57 by 6 (hundreds digit of 613), then multiply by 100: $$57 \times 6 = 342$$ $$342 \times 100 = 34200$$ 6. Add all partial products: $$171 + 570 + 34200 = 34941$$ 7. Therefore, the product of 57 and 613 is: $$\boxed{34941}$$