How long am I going to keep coughing?

So I quit smoking a little over 5 weeks ago (yay me!) and I’ve been coughing ever since. I know it’s a good thing. My cilia are starting to work again and ridding my lungs of all the crap I poured into them. That’s good, but how long is it going to go on? It’s painful, it burns, and sometimes my chest feels really tight and uncomfortable.