Pretty easily done with Odin and TWRP.
ALERT! This will void whatever warranty you have. Also, I am not at fault if your phone comes to life..... or dies.
Just need to download Odin (there are forums all over for finding the files.)
Download the TWRP recovery flash file:
http://dl.twrp.me/hltespr/twrp-2.8.6.1-hltespr-4.4.img.tar
Download Chainfire's SuperSU and copy to SD card:
http://download.chainfire.eu/696/SuperSU/UPDATE-SuperSU-v2.46.zip
Power off phone entirely.
Hold Volume down + home and power the device on, then press Volume up to confirm entering Download Mode.
Open Odin.
Connect Phone to computer.
Wait for drivers to install if not already. May need to obtain Samsung USB drivers (http://androidxda.com/download-samsung-usb-drivers)
When the box shows "COM #", click the PDA button and select the TWRP image file you downloaded. (or other recovery).
Uncheck "Auto Reset"
Click Start.
Once finished, disconnect device.
PULL BATTERY
Power into Recovery first thing first by holding Volume up + Home. (failure to do so will result in the stock recovery being flashed back on boot by the phone)
Recovery will autopatch the ROM to prevent the stock recovery from being rewritten on reboot. (or should)
From inside your recovery, flash the SuperSU update zip.
Reboot and enjoy root!
(I had to try a couple of times through trial and error to get it to stick)
ALERT! This will void whatever warranty you have. Also, I am not at fault if your phone comes to life..... or dies.
Just need to download Odin (there are forums all over for finding the files.)
Download the TWRP recovery flash file:
http://dl.twrp.me/hltespr/twrp-2.8.6.1-hltespr-4.4.img.tar
Download Chainfire's SuperSU and copy to SD card:
http://download.chainfire.eu/696/SuperSU/UPDATE-SuperSU-v2.46.zip
Power off phone entirely.
Hold Volume down + home and power the device on, then press Volume up to confirm entering Download Mode.
Open Odin.
Connect Phone to computer.
Wait for drivers to install if not already. May need to obtain Samsung USB drivers (http://androidxda.com/download-samsung-usb-drivers)
When the box shows "COM #", click the PDA button and select the TWRP image file you downloaded. (or other recovery).
Uncheck "Auto Reset"
Click Start.
Once finished, disconnect device.
PULL BATTERY
Power into Recovery first thing first by holding Volume up + Home. (failure to do so will result in the stock recovery being flashed back on boot by the phone)
Recovery will autopatch the ROM to prevent the stock recovery from being rewritten on reboot. (or should)
From inside your recovery, flash the SuperSU update zip.
Reboot and enjoy root!
(I had to try a couple of times through trial and error to get it to stick)