although as that card was never very popular with either gamers or miners your chances here are not great either. 
HD 5830 actually was actually quite popular among the miners, it usually had a good price:speed ratio, though there was less demand for it at times when the BTC price:difficulty ratio was getting worse because 5830 is a power hungry GPU.
You mean like few years back? I though HD 5850 and HD 5870 is much better in term of hash/price?