Quoting a Stranger

I interviewed Shasta Thomas for my Stranger article. This was the first assignment and only using 5 questions was hard. I was able to get some good information that told me a lot about her so it was easy to come up with an article. The hardest part for me was quoting her exact words since I didn't have a tape recorder or anything. But I managed to jot down a few phrases from her. I wonder if there is an easy way to write a person's exact quote without missing out on other important information from the story he or she has...