More then likely the splines on the end of the shaft are what is broken, or worn off caused by something else.
Drag racing one day with the Honda after the 7th launch that day, we stripped the teeth off the pinon and ring gear. The driver was trying something different on the launch.
Back in the day about 1980 I had the ring gear on my 340 Duster break off 3 teeth from the ring gear. I went to the local junk yard paid $125 for used pumkin for the 8 3/4 rear end.
174,000+ miles, 5/20/12 new ej257 short block, 8/20/11 installed VF52 turbo, @20.8psi, 280whp, 300ftlbs. Also CHECK YOUR OIL, these cars use it.