Which sequence of steps is the correct general procedure to divide the complex numbers: $(a+bi)÷(c+di)$?

• A. First factor out $i$ from both numerator and denominator and cancel $i$, then use FOIL on the remaining binomials only if both have two terms, and you still see imaginary parts present
• B. Divide real parts and imaginary parts separately as if they were independent fractions and then recombine, since complex division distributes over addition in the same way as real division
• C. Multiply numerator and denominator by the conjugate of the denominator: $(c-di)$, FOIL both the numerator and the denominator, replace any $i^2$ by $-1$, simplify to combine like terms and separate into real and imaginary parts, then reduce fractions to the lowest terms if possible
• D. Add the conjugate of the numerator to the denominator, then take the square root of both the numerator and the denominator to eliminate the imaginary part before simplifying, because the conjugate will simplify the addition rather than the multiplication

Answer: (C)