Kenmore is a brand specifically used by Sears, no one else will be able to get on for you. Although they sometimes come up for auction on eBay.
** Model # 110.77873100 **
That dryer was made for Sears by Whirlpool. You may be able to get a "Whirlpool" dryer manual that is close to your model but in order for that, you'd need to have a Whirlpool dryer model number.
You can find other major home appliance owner's manual resources at the following link:
LINK > Appliance Owner's Manuals
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