Hello, and thank you for using this service. I'll be helping you with your problem today.
So to start, the divider between the refrigerator and freezer
gets hot when the compressor is over-working. Usually this happens when the condenser fan motor next to the compressor stops running and the compressor overheats. Pull the refrigerator forward and remove the lower back panel and if the fan next to the compressor isn't running, check to see if anything is blockign the fan blade from moving. If you find anything remove the debris and you should be good to go again. If the fan is not being blocked by anything and it's not running, you'll likely just need to replace the condenser fan motor so below is a link to the part you'd need to order for your model.CLICK HERE
for condenser fan motor
Now if you have a multimeter, you can test between the 2 wires going to the condenser fan motor and confirm it's getting 120 volts. If so, then you definitely need to replace the condenser fan motor. If you're not even getting 120 volts, then you'd need to replace the control board that sends power to the condenser fan motor. The control board is rarely the problem, but I just wanted to give you all the possibilities.
Lastely, if you pull the unit out and the fan is running--clean the condenser coils below the refrigerator and see what happens. If the divider doesn't cool down, you'll need a technician to come out because your compressor is over-heating for no reason and you'll likely need a new compressor.
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