If you've been using a microSD card to store data (rather than just the tablet's internal memory), simply remove the card and plug it into a USB card reader. You should then be able to access the contents of the card just as you would when using a USB pen drive.
Card readers aren't expensive:
http://tinyurl.com/y76dzelw
(There are cheaper offers for that model on eBay but they all seem to come from China. That seller has UK stock)