I'm sure I remember a game like that, where all four of your numbers were 7. So you had 77/77, 7/7 + 7/7, (7+7+7)/7, and so on. I think I remember getting to about 23, but it's possible I skipped some.

Perhaps you could use the numbers in 26/10/2005, which looks as if it has an expected yield of slightly under five non-zero numbers. If you excluded duplicates it might work nicely. But my head hasn't started working yet this morning and I reserve the right to be talking cobblers.