To divide 572 ÷ 4, stanley estimated to place the first digit of the quotient. in which place is the first digit of the quotient?

It's about estimation, so we don't need to divide. So let's round up the number to see it more clearly: 

572 can be rounded up to 600, let's leave 4 as it is, since it's just one digit. 

we see that 6 is bigger than 4, so the result will look like this : 1xx 

so we see, it will be at least a 100, and the first digit will be in the hundred's place - that's the correct answer!