While the Play Store version is the most stable and updated, (and similar dev builds) is often chosen because:
Select Asynchronous (Skip Drawing) or Hybrid Ubershaders to drastically reduce stuttering when entering new game zones. General Settings Dolphin Master 5.0-11879 apk - RomsMania
However, downloading copyrighted game ROMs from the internet (including sites like RomsMania) violates copyright laws in many jurisdictions. The legally sanctioned method to play games on Dolphin is to dump your own physical GameCube discs or Wii optical media using a homebrewed Nintendo Wii console and a tool like CleanRip. To help you get the best emulation performance, tell me: What are you using? While the Play Store version is the most
Download the .apk file, ensuring your browser allows installation from unknown sources. Dolphin Master 5.0-11879 apk - RomsMania