Determine the real part of the complex number after division: $\frac{-66-19 i}{-8-5 i}$

Step 1 ：Given the complex number division operation: \(\frac{-66-19 i}{-8-5 i}\)

Step 2 ：To find the real part of the complex number after division, we first need to perform the division operation. The division of two complex numbers is done by multiplying the numerator and the denominator by the conjugate of the denominator and then simplifying the result. The conjugate of a complex number is obtained by changing the sign of its imaginary part.

Step 3 ：Let's perform the division operation: \((-66 - 19i)*(-8 + 5i)/89\)

Step 4 ：After performing the division, the real part of the result is the coefficient of the real term.

Step 5 ：Final Answer: The real part of the complex number after division is \(\boxed{7}\)