Why does a positive number divided by a negative number equal a negative number instead of infinity?

If you think about it, the division simbol means how many times a number can go into another number, so a positive number, like 5 goes into a negative number, like -25, -5 times, because the -5 is less than 1, and 5 cant go into anything less than one even once, so it goes in a negative amount of times. I'm not sure why a positive number divided by a negative number would be infinity.