Hello ae100. I looked up the specs for the 800's. They are wired into a standard stereo 3.5mm plug. This means both channels use the same ground connection. That will be the two light colored wires. As HIGHFLYiN9 suggests and i agree the reds is right channel and the blue is the left channel.
So first off you have the wrong jack as your's has 4 connectors. You need to get one with the standard 3 wire connection, (stereo 3.5mm jack). Cheaper than a meter, but a meter is always handy to.
With the proper jack you will solder: -blue to the tip connector on the jack's tab. (left)
-red to the ring connector on the jack's tab. (right)
-Both other wires are soldered to the ground tab. (gnd)
-Screw on the jack's cover and plug in to listen.
I will tell you that a hot soldering iron will be needed to melt the enamel off of the wires surface at the ends. (It is the wire's insulator) (blue tinted enamel, red tinted enamel, etc). When it is melted off, the wire will take solder and you can attach to the tab for a proper solder joint. If the enamel coating is not hot enough to melt, the wire will not solder to the tab and it will not work out for you. Bit of a pain but it's not so big deal. You will catch on quickly as we all do.
Edited by Sunshine55 - 4/17/17 at 8:38pm