How many zeros are in all natural numbers from $1$ to $2019$?

Problem :

How many zeros are in all natural numbers from $1$ to $2019$ ?

My attempt :

From $1$ to $100$ we have $11$ zeros

Now from $101$ to $110$ we have $10$ zeros

So from $20$ zeros

Moreover from $101$ to $1000$ we have $201$ zeros

But its very tried I need simple method to calculated this zeros