We divide a complex number by another complex number by writing the division in the form of a fraction and multiplying the fraction (multiplying the numerator and denominator) by the conjugate of the complex number at the denominator, thus removing the imaginary part from the denominator.
Let's look at the division of complex numbers in a concrete case:
For any complex number z other than 0, there is an inverse number that is 
.
The inverse number is calculated using the procedure for dividing complex numbers, ie by writing it in the form of a fraction and expanding the fraction (multiplying the numerator and denominator) by the conjugate of the complex number at the denominator, thus eliminating the imaginary part from the denominator:
Let's look at the process of calculating the inverse number in a concrete case:
