Bathroom Floor Tile—Demolition 
—from an e-mail I once sent in November 2012...
-  Remove toilet. Plus hole with large cloth, old terry towel, etc. lightly soaked in oil (for seal) to contain sewer gases.
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-  Remove baseboards (but NOT door casings). 
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-  Use backerboard, tile and imagination to gauge the finished height of the floor. Using Dremel tool, cut the bottoms of the door casings to the finish height.
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-  Using skil- and reciprocating saws, and a chisel, explore removing the old, damaged subfloor. Once you know its thickness, set the skilsaw appropriately and cut the entire floor into easily removable sections.
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-  Pry up old subfloor. 
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-  Clean remaining surfaces. 
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-  Examine the floor for any problems that need solving, especially around the toilet flange. Solve if necessary, then re-clean.