You can download no-charge and paid apps from Google Play on your Android phone or tablet. We recommend that you get apps from Google Play, but you can also get them from other sources.

Start by going to //play.google in your computer's web browser and signing in with your Google account.

1
Once you download an APK file for a Play Store app with this method, you can easily transfer it to your Android.
2
You can only download APKs for free apps it's not possible to get a paid app's APK.