Are there any brainiacs out there who can 'splain to me (in English!) why a negative number divided by a negative number ='s a positive number?

THIS IS NOT A HOMEWORK QUESTION!! .... Well, actually, it kind of is. I’m relearning algebra (which I aced way back when) and I’m my own teacher. :O

I learn better when I understand the reasoning behind things, and I don’t understand how -50 / -2 = 25 and not -25. It just seems counter intuitive…

I am now a teacher in an adult high school degree completion program, not to be confused with a GED program. The students go through all of the actual Junior and Senior High School curriculum, from Math 800 to Calculus, from Health to World History, so I’m one busy Flutherer re-learning all of this stuff, and teaching myself. Can’t teach it ‘lessn you know it! I LOVE MY JOB!!!!