Download the latest version of the ODIN flashing software for Samsung handsets and the latest USB drivers if your phone doesn't get recognized by your computer, or visit Daerragh's ODIN thread from the source link below.
Get the appropriate file for your Note 3 model, which can be checked from Settings>About phone>Phone identity>Model number, then follow Chainfire's instructions below closely, or visit the respective thread we've sourced at the end:
Download
SM-N900 (International Exynos): CF-Auto-Root-ha3g-ha3gxx-smn900.zip
- Download and unzip the respective CF-Auto-Root-....zip file for your device
- If you end up with a recovery.img and cache.img file, you've extracted twice. You need to end up with a .tar.md5 file - don't extract that one
- (USB) Disconnect your phone from your computer
- Start Odin3-vX.X.exe
- Click the PDA button, and select CF-Auto-Root-....tar.md5
- Put your phone in download mode (turn off phone, then hold VolDown+Home+Power to boot - if it asks you to press a button to continue, press the listed button, or run adb reboot downloadcommand)
- (USB) Connect the phone to your computer
- Make sure Repartition is NOT checked
- Click the Start button
- Wait for Android to boot
<ID:0/094> Added!!
<OSM> Enter CS for MD5..
<OSM> Check MD5.. Do not unplug the cable..
<OSM> Please wait..
<OSM> CF-Auto-Root-hlte-hltexx-smn9005.tar.md5 is valid.
<OSM> Checking MD5 finished Sucessfully..
<OSM> Leave CS..
<ID:0/094> Odin v.3 engine (ID:94)..
<ID:0/094> File analysis..
<ID:0/094> SetupConnection..
<ID:0/094> Initialzation..
<ID:0/094> Get PIT for mapping..
<ID:0/094> Firmware update start..
<ID:0/094> recovery.img
<ID:0/094> NAND Write Start!!
<ID:0/094> cache.img.ext4
<ID:0/094> RQT_CLOSE !!
<ID:0/094> RES OK !!
<ID:0/094> Completed..
<OSM> All threads completed. (succeed 1 / failed 0)
<ID:0/094> Removed!!
<ID:0/045> Added!!
<ID:0/045> Removed!!