Tutorial on Rooting the Samsung Galaxy Note 3 Verizon N900V on 4.3, 4.4.2
Step by Step instructions Using Towel Root
1. Go to www.towelroot.com and download the apk file.
2. Copy and paste the file onto the root of your phone.
3. Using "my file" app or some file manager app, you will need to find the app that you placed in your phone in step 2 and install it.
4. Make sure that unknown sources is checked in setting and then you can install the app.
5. Open the towel root app and click "make it rain". you should now have root.
Credits:
http://forum.xda-developers.com/showt...
www.towelroot.com geohot