Device lose root access after installing SU .zip update from stock recovery I rooted my device, Samsung Galaxy S3, by connecting my device to pc via usb, and one-click-root with KingROOT application(on my pc). It automatically install a superuser on my device, but it's not the SuperSU that developed by Chainfire, instead, it's called Kingo Superuser. It works fine, but unfortunately an app did not get authorize by Kingo Superuser, it keep asking for authorization from SuperSU.
I don't know why SuperSU is asking for update even though I just install it from Play Store. Since I don't have a custom ROM, I choose Normal when asking for update method. Before I do that, I already install the .zip update file from recovery. (I saw 3 red lines, ...can't get signature..., something like that when I install it.) After it completed, device starts to reboot. The worst thing is after rebooting, my device lose root access :( 
I searched for solution online about updating SuperSU and related stuff but I can't find a clear solution. So I came here, how do I update SU binary in a proper way, without a custom ROM.
Thanks.
SuperSU zip is an unsigned zip and can only be flagged through a custom recovery like cwm our twrp. You can search on xda for a custom recovery for your device. Use Kingroot to root your device again, use fastboot or ODIN from PC (refer to XDA  for proper device-specific instructions) or Flashify to flash a custom recovery image, then full unroot from Kinguser, and then flash the SuperSu zip from custom recovery.