I am using an app D<span style="background-color: rgb(253, 253, 253);">uolingo to learn German </span> (on windows mobile). I have checked and Korean is also available. you can start with this.
As you mentioned that you watch Korean drama. Pick-up a translation in English, try to write it in Korea, take Google Help. Go back to Drama and see how near you are. Start with small sentences.
BTW, I also love Korean Drama and Love it.