February messes things up. However, for the remaining months of the year... There are 61 days between all of the even numbered months. That is 8 weeks and 5 days. Or two days short of 9 weeks.
So, 4/4, 6/6, 8/8, 10/10, and 12/12 will all fall on the same day of the week.
The last day of February will fall on this same day of the week. And in a non-leap-year then, so will the last day of January.
this gives you enough way-points to navigate around the calendar. But, for a few more, the mnemonic "work 9 to 5 at the 7-eleven" fills in some more.
Add 7/11, 11/7, 9/5, 5/9, to the list of days that fall on the same weekday as those above.
And this doesn't matter if you write your dates MM/DD like an American or DD/MM like the rest of the world.