Problem moving database

Hi, I am having an issue with my database I am trying to move to a new install. I exported my WordPress database for my old site as it was hacked. I installed a fresh copy of WordPress, and imported the old database, the only problem is, it has doubled up the tables, I just want my WordPress to look at the old tables. I tried deleting the tables in the new database, and then importing the old one, but when I do that and then go to my site, it thinks I am on the last steps of the “famous 5 step install of WordPress”, which once I go through, inserts new tables…., I just want my site looking at the old database that I have imported. Does that all make sense? lol

EDIT: I have moved lots of databases between servers, and never had a problem, so I know the steps to take, maybe its because its the same server thats the issue? Its a fresh install of WordPress, but same server.

Thanks in advance