Hi
Step by Step instructions on:
How to Root and Install Recovery Samsung Galaxy Note 3 SM-N900
Prerequisite:

1. Make sure your mobile should have 70 to 80% battery.
2. Enable USB debugging mode (Menu (app drawer) > Settings > Manage Applications > Development > USB Debugging – check box).
3. Ensure that you have backed up your all important data.

Requirements:
1. Download and install Samsung Galaxy USB Drivers (Download USB drivers or download Samsung Kies (drivers included))
2. Download “Odin“.
3. Download “CWM Recovery“.
4. Download “SuperSu“.


install CWM Touch Recovery :

1. Download all files on your computer .

2. Extract “Odin.zip” on the desktop and place “N900-Cwm-Recovery-6.0.3.8(0929).Tar for Samsung Galaxy Note 3” in it.
3. Now boot your phone into Download Mode

4. Open “Odin.exe” (from extracted folder) and connect your phone via USB cable to your computer in download mode. If your phone is connected successfully the one of the ID:COM boxes will turn yellow/green.

5. Click on “PDA” button and select file “.tar.md5” (from extracted folder).
6. Now, click on the Start button on Odin to start the installation process.
7. when the installation process is completed successfully you will see the “PASS” message on Odin and then your device will reboot automatically. Now, you can disconnect your phone from computer.

((Finish You have successfully installed CWM Recovery))


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Root :

1. Download all files on your computer .

2. Extract “Odin.zip” on the desktop and place “ CF-Auto-Root-Ha3g-Ha3gxx-Smn900.Zip for Samsung Galaxy Note 3” in it.

3. Now boot your phone into Download Mode

4. Open “Odin.exe” (from extracted folder) and connect your phone via USB cable to your computer in download mode. If your phone is connected successfully the one of the ID:COM boxes will turn yellow/green.

5. Click on “PDA” button and select file “.tar.md5” (from extracted folder).
6. Now, click on the Start button on Odin to start the installation process.
7. when the installation process is completed successfully you will see the “PASS” message on Odin and then your device will reboot automatically. Now, you can disconnect your phone from computer.

FINISH now your phone is ROOTED