Add a 110. to the beginning of the model number. That's 110.84870100, which is a direct drive convertible from the early 90's. I have the same model.
Sears still has scans of he parts catalog for this model online. The small version doesn't look right, but blows up properly if you click on the full size vew.  http://www.searspartsdirect.com/partsdir...**.shcapp3305?modelNumber=110.84870100&pop=flush
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84870100 is not a valid Kenmore model number, can you upload a picture of the model tag?
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