SCJP Prep - when dividing by zero is ok

One of the most common examples used to illustrate exceptions is the "division by zero" example.
Exception in thread "main" java.lang.ArithmeticException: / by zero
I think I've seen it in a few Java books, so I've always had this impression that it's never ok to divide a number by zero. Until I started preparing for the SCJP, that is. I ran the code below.

[java]
import java.io.*;

class TestDivideByZero
{
public static void main(String[] arg) throws IOException
{
System.out.println(1/0.0); //prints "Infinity"
System.out.println(1.0/0); //prints "Infinity"
System.out.println(-1/0.0); //prints "-Infinity"
System.out.println(-1.0/0); //prints "-Infinity"
System.out.println(1/0); //runtime error here
System.out.println(-1/0); //runtime error here
}
}


So what's up? According to Sun:

Despite the fact that overflow, underflow, division by zero, or loss of information may occur, evaluation of a floating-point division operator / never throws a run-time exception.