I have seen some people in this thread who asked when this will be fixed,
it won´t be fixed because it isn't broken.If you see "Error: This kernel requires an x86-64 cpu but only detected an i686 cpu.", then your PC is designed for the 32-bit architecture, this means that it uses instructions in 32-bit format.
Remix OS is made for the 64-bit architecture, this means that is uses instructions in 64-bit format but also accepts 32-bit format.
64-bit PC's support 64 and 32-bit operating systems and programs.
32-bit PC's support only 32-bit operating systems and programs.
You simply can't install a 64-bit OS on a 32-bit PC, it is impossible.
As far as Remix OS is concerned, you are a user who tried to load a 64-bit OS onto a 32-bit machine while everyone knows that it's incompatible.
You need to either get your hands on a 32-bit OS (as far as i know Remix OS is only 64-bit) OR use a 64-bit computer.
You CANNOT upgrade certain parts of your hardware to get a 64-bit PC, you need a new PC!