All you need to do to find these streaming websites is to search, “Doctor Who watch online.” To find a particular episode, include it in your search.  These websites stay online by not hosting the physical video on their site. Instead they contain links to other websites that host the video.  The government is also trying to get stricter on these websites.  These websites are consistently changing or getting shut down, but a few consistent sites are watchseries.li and geektv.me

Summary:
Stream through third party sites.