Kelly, you're in luck!
The 103916 transaxle is already equipped with an 8 pinion differential.
Here's the application list for that transaxle: (brace yourself!)
01-08K801, C-81 8-Speed Tractor, 1980-->MECHANICAL TRANSMISSION-8 SPEED
· 01-08K802, C-81 8-Speed Tractor, 1981-->MECHANICAL TRANSMISSION-8 SPEED
· 01-08K803, C-85 8-Speed Tractor, 1982-->MECHANICAL TRANSMISSION-8 SPEED
· 01-10K801, C-105 8-Speed Tractor, 1980-->MECHANICAL TRANSMISSION-8 SPEED
· 01-10K802, C-105 8-Speed Tractor, 1981-->MECHANICAL TRANSMISSION-8 SPEED
· 01-10K803, C-105 8-Speed Tractor, 1982-->MECHANICAL TRANSMISSION-8 SPEED
· 01-12K801, C-125 8-Speed Tractor, 1980-->MECHANICAL TRANSMISSION-8 SPEED
· 01-12K802, C-125 8-Speed Tractor, 1981-->MECHANICAL TRANSMISSION-8 SPEED
· 01-12K803, C-125 8-Speed Tractor, 1982-->MECHANICAL TRANSMISSION-8 SPEED
· 01-14K801, C-145 8-Speed Tractor, 1980-->MECHANICAL TRANSMISSION-8 SPEED
· 01-14K802, C-145 8-Speed Tractor, 1981-->MECHANICAL TRANSMISSION-8 SPEED
· 01-16K801, C-165 8-Speed Tractor, 1980-->MECHANICAL TRANSMISSION-8 SPEED
· 01-16K802, C-165 8-Speed Tractor, 1981-->MECHANICAL TRANSMISSION-8 SPEED
· 01-17K801, C-175 Twin 8-Speed Tractor, 1980-->MECHANICAL TRANSMISSION-8 SPEED
· 01-17K802, C-175 Twin 8-Speed Tractor, 1981-->MECHANICAL TRANSMISSION-8 SPEED
· 01-17K803, C-175 Twin 8-Speed Tractor, 1982-->MECHANICAL TRANSMISSION-8 SPEED
· 11-08K801, C-85 8-Speed Tractor, 1983-->MECHANICAL TRANSMISSION-8 SPEED
· 11-10K801, C-105 8-Speed Tractor, 1983-->MECHANICAL TRANSMISSION-8 SPEED
· 11-10K802, C-105 8-Speed Tractor, 1984-->MECHANICAL TRANSMISSION-8-SPEED
· 11-12K801, C-125 8-Speed Tractor, 1983-->MECHANICAL TRANSMISSION-8 SPEED
· 11-12K802, C-125 8-Speed Tractor, 1984-->MECHANICAL TRANSMISSION-8-SPEED
· 11-16K801, C-165 8-Speed Tractor, 1984-->MECHANICAL TRANSMISSION-8-SPEED
· 11-17K801, C-175 Twin 8-Speed Tractor, 1983-->MECHANICAL TRANSMISSION-8 SPEED
· 81-08K801, C-81 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-08K801, C-81 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-10K801, C-101 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-10K801, C-101 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-12K801, C-121 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-12K801, C-121 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-14K801, C-141 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-14K801, C-141 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-16B801, C-161 Twin 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-16B801, C-161 Twin 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-16K801, C-161 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 81-16K801, C-161 8-Speed Tractor, 1978-->MECHANICAL TRANSMISSION-8 SPEED
· 91-08K801, C-81 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-08K801, C-81 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-08K802, C-81 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-10K801, C-101 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-10K801, C-101 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-10K802, C-101 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-11B801, C-111 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-12K801, C-121 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-12K801, C-121 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-12K802, C-121 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-14K801, C-141 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-14K801, C-141 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-14K802, C-141 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-16B801, C-161 Twin 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-16B801, C-161 Twin 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-16B802, C-161 Twin 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 91-16K801, C-161 8-Speed Tractor, 1979-->MECHANICAL TRANSMISSION-8 SPEED
· 31-16K801, 416-8 Garden Tractor, 1985-->MECHANICAL TRANSMISSION-8-SPEED
· 31-16K801, 416-8 Garden Tractor, 1985-->MECHANICAL TRANSMISSION-8-SPEED
· 31-17K801, 417-8 Garden Tractor, 1985-->MECHANICAL TRANSMISSION-8-SPEED
· 31-17K801, 417-8 Garden Tractor, 1985-->MECHANICAL TRANSMISSION-8-SPEED