Are there any cases when it's a good idea to throw errors that can be avoided?

I'm thinking specifically of the DivideByZeroException and NullReferenceException

For example:

double numerator = 10;
double denominator = getDenominatorFromUser();

if( denominator == 0 ){
   throw new DivideByZeroException("You can't divide by Zero!");
}

Are there any reasons for throwing an error like this?

NOTE: I'm not talking about catching these errors, but specifically in knowing if there are ever good reasons for throwing them.