Last year November Xiaomi released Redmi Note 3 with MIUI 7 based on Android 5.0 Lollipop. Few months before Xiaomi updated the Developer version ROM for the Redmi Note 3 with Android 6.0 Marshmallow with a long list of Optimizations and Bug fixes. But finally today Xiaomi has released the Android 6.0 Marshmallow update for the Stable Global ROM for Redmi Note 3. The version of the ROM is MIUI 8.1.1.0.MHOMIDI.
This version also comes with many improvements along with some bug fixes. This update is around 1.3GB, and the users can install this through OTA (Settings>About phones>System Updates) or manually install it by using flashing processes.
You can check the full changelog from the Source link.