You could recreate the look and feel of the report as a summary in Monarch, and then make the Floor the first key value, and then export the summary (in 9 or above I think) so that exports are generated based on each change in the first key value. Lines and boxes won't be preserved in the summary method in desktop Monarch.
A report export won't split that way, but you could export a PDF from the report window with a navigable tree of bookmarks which would let people browse to the data they need.
There is an alternative using Datawatch|ES - which is to use XSLT stylesheets to recreate the design of the PDF in a web page. The document level security in ES would then allow you to decide who could see the data for which floor.
Hope this helps,