Hi,
Thanks for the clarification. This is actually fairly simple to remove the rear wheel, however as you'll see after this has been removed, there really is no axle attached to this. It just snaps into the main canister housing. It may be that your wheel has broken, and a new wheel may fix your problem.
First here's a link to the parts shematic for your model so you can follow along:
http://www.searspartsdirect.com/partsdirect/getSubComp.pd?modelNumber=11627514700&productCategoryId=0642000&brandId=0582&brandDescription=KENMORE&modelName=VACUUM-CLEANER&diagramPageId=00001&componentDescription=CANISTER&documentId=P0706048&blt=06
Simply put a flat head screw driver behind the brush, and pry it off. It will easily come right off. You may inspect the wheel, and the wheel housing that it snaps into to make sure there are no obstructions, or pet hair that are slowing the wheel down. Also look at the clips that hold the wheel in place to make sure there's no debris above the clips on the wheel that could slow down the brushes also.
If it all appears to be fine, you may spray some WD40 on the part of the wheel that spins, reinsert it back in the vacuum cleaner and test to see if that fixes it. If it didn't, you might just want to purchase a new wheel assembly.
Here's a link to the rear wheel for Kenmore canisters if you'd like to purchase a new one from our website:
http://www.govacuum.com/kenmore-panasonic-canister-rear-wheel-assembly-panasonic-part-ac99caktzv07-sears-part-4370702.html
Hopefully that helps you. If you have any questions about how to repair this, or other questions that I did not address, simply just add a comment as you did last time, and I'll be more then happy to answer any and all of your follow up questions.
If you found this repair helpful, please be so kind and rate my repair, or leave feedback. This is really appreciated, and one of the reasons that Fixya repair professionals continue to post free repair advice on Fixya.
Chris Jones
GoVacuum.com
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