We just need to change Earth's rotational speed and orbital period so that the number of days in a year is congruent 0 (mod 10). If we had 1000 day years, then maybe we could have 10 months of 10 weeks of 10 days. Or with 100 day years, we could skip months and just have 10 weeks of 10 days.
Somewhere between Mercury's and Venus's orbits, we could have a year with 100 days of our current length. It would be nice for our existing circadian rhythms but a bit on the hot side...
A bit further than Mar's orbit, we could have a year with 1000 days of our current length, but pretty chilly.
Maybe we could take Mars's orbit, since we think it had liquid water and we've go a greenhouse going anyway... That is about 690 of our current day lengths. But maybe we could spin Earth up to have 1000 rotations per orbit, and each day would be about 16.5 of our current hours.
Given the utter climate chaos we'd get from this, it might be more realistic to move everybody underground and then we can just program the lights to give us whatever decimal time units we want... ;-)