Passenger Mirror replacement

[NoDef]

I need to replace the glass in the passenger side mirror of my 2003 X5 (don't ask). It looks like the OEM replacement from BMW is ~$300. I'm assuming this is the whole mirror insert which includes the heater and the black plastic insert. But it looks like you can just buy the mirror glass for ~$50. Has anyone done this replacement? Does the replacement glass easily slide into the insert? Any tips on removing the broken glass from the insert.

Thanks for any insight...