Use a large cone-shaped Mold. Melt the gold alloy, pour the liquid alloy into the mold, and cool it very slowly. Gold is heavier than Lead so this alloy
will stratify upon cooling and then cut the Gold from the lead. The surface tension of Gold is higher than that of Lead you could use a porous ceramic
filter to separate the two metals. Old Dredge Tailing piles will have to be run over a Sluice to collect Platinum, Gold, Black-sand from the tailing piles
You will also have to use a wet magnetic separator, There are several of these systems running on the Sacramento River in California
Life would be a lot simpler for us, if the Gold/Lead alloy would separate out due to the difference in specific gravities. Just cut it off at the differentiation line after the pour solidified in a cone mold. I would love to see you demonstrate this technique. I learned from a Colorado School of Mines professor, whom I proposed the same question to, that that is not the case. Reflecting back at that moment with the professor, he just held his head, and tried not to bite my head off for my stupidity, a very patient man.
That being said, I still wonder if Au/Pb alloys could not be separated in a centrifuge, at still molten temperatures.
Another potential, but hardly worth while technique, is to use the differing vapor temperatures of the 2 ( or more ) metals in the alloy;
Lead (Pb)- Boiling point 1749 C / 3180 F
Gold ( AU ) BP 2856 C / 5173 F
Both start to volitize at melting point, but increase rapidly at higher temps.
The con here, is the loss of Au, and the large amount of heat and toxic fumes produced. Not enough pros here to use the evaporation technique.