Ceiling fan replacement wiring issues
Return your fan and get a better fan

What you have discovered is one of the main reasons cheap ceiling fans with built-in remote receivers are a bad deal in the long run: the packaged receiver is designed based on the assumption that that's the only way you'll ever control the ceiling fan.

So, I'd take this fan back to where you got it from and get a better fan that supports separate fan and light wall switches instead -- you'll be glad you did in the long run.