Belmont Park is just out side the NYC limits-- If you have a road map for NYC-- it is just east of the Queens border-- on NY 24 (Hempstead Parkway-- pronounced Hemp (like the fiber) stead as in "steady as she goes") and in the "town" of Belmont. As the crow flies-- about 5 miles south of me..a little longer by highways. and BYB is right-- it is a bit of a dump. I never go for the races-- no interest, but i have been to the park.

And yes it is Long Island (or as the natives say Lawn Guyland) And while as a point of geography Queens is on the same land mass-- Queens and Brooklyn are not part of Long Island-- Politics is strong force than geography.. I do not live on LI-- I live in Queens. (just as the local NYC Jail -- Rikers (Island) is "in the Bronx" -{the island is considered part of the Bronx} but the only access road to the island is from Queens. And prisoners are "released" to Queens, not to the Bronx. --any one who has watched NY Cops shows will have heard of Riker's--
NYC holding cells for the court house is called "The Tombs")

I think the belmont stakes is June 10th, but i could be wrong.