It has been steady around 200-210 for a while. Today it dipped down to mid 180s while BTC was rising. Now it's around 190, so lost 10-20 since yesterday.
I think the only reason doge stays at a reasonable rate is only due to the big community, which no other coin has. Without that community doge would be much lower by now, so it will be interesting to see how much stamina the community can sustain.