Question: How is dividing 250 by 50 the same as dividing 2,500 by 500?

Answer: It is the same because 0 is just a place holder.

Question: Is this correct?

Verified Answer :

well dont you have to bring down the zeros than you will have the answer

Yes this is correct. 0 is just a placeholder. You can try it with anything. 
18/3=6
180/30=6
And so on.