Wolfgang wrote: "I burned up a Dremel (motor spins but gear is gone"
Actually, there are no gears in a Dremel. What you destroyed is pretty common, and it's a splined coupler inside that's made of Nylon. Go to the Dremel site and get into the parts lists, find your model (there are several) and find the coupler part. When you find it and go to buy it, get a half dozen because the shipping is about the same for all as it is for one. The part itself costs a couple of bucks or so.
Replacing it is easy - the hardest part is getting the case halves apart and back together - the rest is very straightforward.
Sorry for the Hi-Jack, Matt: Grind out the cracks to a width of about 1/8" and a depth of about the same. You have to get through the Gel coat and into the substrate in order for the patch to bind properly. Dremel sells a router-style bit that works great for this (it has a conical point), and I usually run the Dremel speed at about 7-8 out of ten. If you use a Dremel, it's helpful to use their router accessory as it will hold the cutting bit at the same depth for you. I think that fixture also works for their grout cutter bit.