It is now a Pizza Hut Diapason, well done.
It was The Hare & Hounds and Railway Hotel. The latter name added when Chatham Central station was opened opposite in 1892. That white elephant spur line was closed in 1911 and all traces are now gone. Badly named as neither in Chatham, nor central!
The little shop next door at 342, still standing when this photo was taken about 1960, was where my father was born in 1909. His father was trading as a baker and confectioner, and the family moved a little up the road to 350 by the 1911 Census. There they also had a small Cafe to sell the produce.
The uncropped photo has a car roof below the distinctive railings, which I thought was a clear indication of St Margarets Banks, so I adjusted it