I have not attempted the fix RickB suggests. For one thing, I am busy planting right now. I will try to schedule it for November, when there is not much work to be done with the tractor, and we are not into plowing yet. I have 700' of driveway to plow, and no alternative equipment to plow it with.
It would be interesting to get other's accounts of what was involved in the fix, and in particular, the time to do the job, and the downtime.
I am looking forward to the job, in that it gives me the chance to change the hydraulic fluid, see the insides, and judge the condition of things. On the other hand, a foot of snow while it is down would have me shoveling for a day or two. (grin)
BTW, I do have the 1310/1510/1710 factory manual, and will go through that again, but as I recall it has less detail than what RickB has provided.
After the differential repair, I have a half dozen LED lights to install...a good topic for another thread.
First man with a fixed differential, wins the prize...