Divide complex numbers into rectangular form

I have tried this complex number below. Is it correct?

$$ frac {4 + i1} {2 + i3} $$

Here is what I have:

$$ frac {4 + i1} {2 + i3} times frac {2 + i3} {2 + i3} $$

$$ frac {8-12i +2 -3i ^ 2} {4 -6i + 6 – 9i ^ 2} $$

$$ frac {8 -12i +2 -3i ^ 2 (-1)} {4 – 6i + 6 -9i ^ 2} $$

$$ frac {8 -12i +2 + 31)} {4 – 6i + 6 + 9} $$

$$ frac {39 – 10i} {13} $$

Is it correct??