The two or three jaws of the puller grip the OUTSIDE race of the bearing. It may, or may not damage the balls and races, which is why I never try to reuse a bearing after I use a puller on it- - - - -no way to inspect that type of bearing for damage. Sometimes the bearing comes apart and I have to cut the inner race off with a grinder. At least that's been my policy for the 65+ years I've made a living doing this stuff. it's not a hobby for me.
You can also put a splitter behind the bearing, and use the puller against it:
www.ebay.com/itm/353584864164?Jerry
