Differential Side Bearing Preload Adjustment

Set the differential assembly to the clutch housing case assembly.
Push and fit the tapered roller bearing outer race by hand.
To fit the tapered roller bearing outer race, rotate the differential assembly by hand about 10 times.

Fig 1: Identifying Outer Case And Clutch Housing Case Assembly
Courtesy of MITSUBISHI MOTOR SALES OF AMERICA.
Put the clutch housing case assembly on the surface table and use a height gauge to measure the dimension "A" which is from the mating surface of the clutch housing case assembly to the end surface of the tapered roller bearing outer race.

Fig 2: Identifying Dimension Between Mating Surface Of Clutch Housing Case Assembly And End Surface Of Tapered Roller Bearing Outer Race
Courtesy of MITSUBISHI MOTOR SALES OF AMERICA.
Put the straight edge on the mating surface of the transaxle case assembly and measure the dimension "B" with a vernier caliper.
Select the shim whose dimension is the difference between "B" and "A."
Install the differential assembly to the clutch housing case assembly. Tighten the transaxle case bolts to the specified torque.

Fig 3: Identifying Transaxle Case Assembly Dimension
Courtesy of MITSUBISHI MOTOR SALES OF AMERICA.

Tightening torque: 29.0 ± 5.8 N.m (21 ± 3 ft-lb)
Using special tool MB992038, measure the rotational starting torque of differential case. When it is not within the standard range, reselect the shim.
Standard value: 0.8 - 1.6 N.m (7.08 - 14.16 in-lb)

Fig 4: Measuring Rotational Starting Torque Of Differential Case Using Special Tool MB992038
Courtesy of MITSUBISHI MOTOR SALES OF AMERICA.