Chosen Solution
Our Kenmore Elite dishwasher is leaking steadily from underneath while pumping. Just started a few days ago - unit is 3 yrs old. It seems to be leaking from the valve/drain flange/ housing on side of motor/pump cylinder at bottom center of unit. Is that flange/valve housing removable and serviceable? Update (02/25/2018) The dishwasher is a Kenmore Elite Ultraclean Model 665.1279, purchased in May of 2015.
@bags take a look at the float gasket and see if that is where it is leaking from #11 in illustration
Other possibilities are the drainhose #15 or the sump and seal assembly #4
Once you get to those parts, post some images with your question so that we can see what you see. Use this guide Adding images to an existing question for that.