We bought a harbor breeze ceiling fan that has a remote but no matter which speed we select it is always on fast. We have a VERY high ceiling so we would prefer not to get into the fan but I guess we will do what necessary. Thanks!

Sounds like a problem with the receiver, possibly a bad capacitor, but you will probably have to change out the entire receiver. Does the fan have pullchains?

Ceiling fan remote controls - help and FAQ- Ceiling Fans N More