Part 6 appears to be the precision sleeve that the quill runs in & the part that has broken off is the quill clamp.
Looks like it is a cast iron part that has done with flexing to clamp the quill – worn to the point that it had to be over-tightened to clamp adequately. Not much left to try to re-attach the broken bit, so probably requires a new part either purchasing or making (reverse engineer the part).
From memory the last manufacturer of these machines (who may well have been the original manufacturer in DDR times) was Saupe und Sohn, Georgstrasse 45, Limburg-Oberfrohna, Germany. Telephone 03722 6106 They don't appear to have a website & I don't know if they are still trading. The above details came from a German business listing website.
The "Prazi" title seems mainly to have been used to market these machines in America post German reunification – I don't recall anyone in the UK selling the former Hobbymat / Praezimat machines under the Prazi name. IIRC Pro Machine Tools did sell the former Hobbymat MD65 lathe as the Saupe SD300 at one time, but their website appears to be currently "down for maintenance" & they only seem to trade intermittently (based on earlier threads about them).
You don't say where you are based or what language your perfectly servicable translation was made from. Maybe worthwhile trying asking the question on a German model / hobby engineering forum ?
The above is probably not much help, but good luck with your search. If you do find a parts supplier for these machines, please come back & post the details.
Nigel B.