The division of two complex numbers can be accomplished by multiplying the numerator and denominator by the complex conjugate of the denominator, for example, with z_1 = a + b i and z_2 = c + d i, z = z_1/z_2 is given by z | = | (a + b i)/(c + d i) | = | ((a + b i)(c + d i)^_)/((c + d i)(c + d i)^_) | | | = | ((a + b i)(c - d i))/((c + d i)(c - d i)) | = | ((a c + b d) + i(b c - a d))/(c^2 + d^2),