I asked around and found that people were using a library that can be obtained from CodeProject. You can find the actual project here. It provides quite robust CSV processing capabilities. Unfortunately, I was in a hurry, and did not want to play around with a library (I know: bad me). I needed a regular expression that could split my string.
As it turned out, there were some articles to be found around the internet, but none would offer a perfect solution. I finally stitched together a regex from various sources and Google cache entries.
Regex rex = new Regex(",(?=(?:[^\"]*\"[^\"]*\")*(?![^\"]*\"))");
This would work for my case. It might not be general enough, but if you have CSVs with quotes and need a fast solution, you can just take the above regex and then use it to split:
string result = rex.Split(csvLine);