What does it mean when my dryer's 240V supply is 110V?
The voltage measurement needs to be from 1 hot leg to the other hot leg the voltage should be ~240 (the flat connections). To identify the bad leg measure hot to ground or neutral each hot should have 120v.
Since your coil failed I would suspect the wiring at the receptacle or breaker. With the power off pull the receptacle and look at the connections. My guess there was a not so good connection when the coil failed it may have ended up burning the wire off. I see this regularly in receptacles not very often in the breaker box. It could be the breaker but that is rare.