The quality says exactly what it does. You reduce the essence cost multiplicatively (as the example shows; the 10% is applied after the alphaware reduction). Rounding down to the tenth is also pretty clear (it says rounding down - that means you floor it). It clearly says tenth as well, so no hundreds at all.
So:
Used: 1.125
Normal: 0.9
Alpha: 0.72
Beta: 0.63
Delta: 0.45
And then you round down to the tenth. In your example, the used toner is 0.675 (not 0.69), then rounded down to 0.6.
"Common rounding" rarely applies in Shadowrun anyway. Things are either not rounded (like essence, by default), rounded to whatever it specifies (like here, rounding down), or rounded up (the default for most things that have to be rounded that don't specify).
(I don't get why they round down to the tenth, by the way - seems silly to me, especially if you already have things rounded to hundreds in the base. But it specifies tenth explicitly, so you use tenths).