This is commonly caused by a turntable motor that has worn out and needs replaced.
The motor can be replaced by following these steps:
1. Unplug microwave.
2. Open oven door and remove glass tray and carousel
ring.
3. Locate and remove the screws holding the bottom panel (under the microwave) in place. With the screws removed, the bottom panel should open.
4. Disconnect the connector plug from the turntable motor.
5. Reach inside the oven and remove the coupler. This is the small plastic piece that the center of the glass tray sits on. You may have to gently pry up with a flat screwdriver to get it to come loose.
6. With the coupler removed, loosen the mounting screw(s) to the motor and it should easily come out from under the oven.
7. Install new motor in the reverse order of the steps I just provided.
This is a very simple repair. A replacement can be purchased at any of the following websites:
searspartsdirect.com
appliancepartspros.com
pcappliancerepair.com
repairclinic.com
Prices vary so shop around for the best price. If the model number you listed this question under is correct, the part number is DE31-10172A. Most of these sites also have helpful exploded view diagrams you can use for reference.
If you have any questions, or require additional assistance, please let me know. I hope this help you.