This quicklime is probably not too good: one can tell it was burnt from limestone because there are still some small limestone chunks around...Just how easy that is depends on what the lime was burnt from in the first place - chalk will be the easiest
I added more very slowly shaking a lot every time instead of just stirring it. This time it seems to have worked: as it settles down, I can already see a yellow layer forming. So the reason it didn't work well before was probably not enough using enough lime and adding it too fast.
The yellow layer is cloudy. Does this mean it has to settle more, that I still have to add more lime, or something else?