I divide my Hostas all the time, always have.you don't need to be precious at all with them, I generally cut the clump up into chunks either at first sight of shoots in spring, or after dieback although I think best to do this in Spring as it gives new clumps time to establish before harsh weather sets in they also love a damp area with rich soil, plenty of moisture sets them off, if they droop just drench them to revive, they're very tough.true all you need is even one shoot attached with a fleshy root and Hosta will establish itself freely,they are wonderful plants that pop up every year and give a luscious and spectacular display,I love them!