Divide the following complex numbers: (6-i) / (5+4i)

(6-i) / (5+4i) =

Multiply both numerator and denominator by (5-4i):

(6-i) (5-4i) / (5+4i) (5-4i) =

(30-24i-5i+4i^2) / (5^2-16i^2) =

(30-29i+4i^2) / (25-16i^2) =

i^2 = - 1

(30-29i+4 * (-1)) / (25-16 * (-1)) =

(26-29i) / 41