Dremel output shaft assembly #2615294311 broke

SOURCE: broken flex shaft on Dremel model 232 broke

You can go to Dremel.com and find assistance or call their toll free number at 1-800-437-3635 and speak with their tech assistance. Let me know if you still need more help. Also I tried using the model number provided and it came up empty that is why I am directing you to this site yourself.

SOURCE: Dremel Model 395 Type 3 Plastic Drive Shaft

You can call Dremel direct at 1-800-437-3635 and order the part. Let me know if you need more information.

SOURCE: Stripped plastic coupler on output shaft of Dremel model 277

I'm guessing, but I think that the Sears tool uses the same flexible coupling. If you go to www.searspartsdirect.com and put in the model 572610031, you can look at the diagram and decide for yourself. I think the part costs $2.57. If it's the right one, I'd order two or three for the future.
Hope this helps.

SOURCE: My Dremel tool motor still works but shaft won't turn?

From looking at manual there is no transmission or connector so the only possible explanation is that the shaft is broken. You might try calling this number
1-800-437-3635 to see if they repair or can further advise you.

SOURCE: I have a Dremel 300 and the shaft lock assembly

The "nub" on the shaft lock assembly (internal) has worn down and the assembly needs to be replaced.

If you feel competent to open your Dremel yourself (and it's not on warranty) then order the shaft lock assembly from Dremel (early 2011 price: $1.25, not sure how much postage & handling might be). After opening the tool you will find a metal ring and a small piece (the lock) which it holds in place around the shaft where the lock button is located. Remove the old pieces and replace with the new ones and reassemble the tool.

Otherwise you can send the tool to Dremel to be fixed.