How to operate Op-Amp[OP07CP] with 0-5v supply?
Your schematic is wrong. V2 should either be +11.75V or you should flip it. 

The circuit (with +/-12V-ish supplies) should work. However, you've got an offset pot- it can adjust the input offset to +/-4mV typically. If you crank it all the way down, the input can appear to be 9mV - 4mV = 5mV. Nominal gain is about 350, so this still appears to be off. You might want to parallel R2 with a small capacitor (10nF ceramic, for example) in case the op-amp is oscillating (if you have an oscilloscope, look at the output directly). Leave out the offset pot to begin with- even the cheap version is within 150uV Vos without the pot. Bypass the supplies too, near the op-amp. 

The OP-07 is an ancient 'precision' op-amp with a distinguished and storied past, however it's not a rail-to-rail input or output or even a single supply op-amp. It is possible to run it from +/-5V (with some care) but not (reliably) from 0/5V.