Binance is still operating and it's my main exchange and I haven't had any issue with them so far, the only problem sometimes 2AF doesn't work for me when I change my computer, other then that have no issues at all. I don't expect them to shut down their business any time soon since they are on their way to become the leader once they added the real dollar. Having that said, never keep your assets on exchange for more then week, not even one day if you have no problem with paying fees.
Binance is the leading trading platform now on the entire cryptoworld