modulus confusion. basic question!

[voidflux]

hello everyone!
I just discovered i've been treating % the wrong way, i always thought it was the number right after the decimal point. But i soon found out its the remainder on the fraction, such as this:
34%5
34/5 = (30 + 4)/5 = (30/5) + (4/5) = 6 + 4/5 = 4
right?
so how is
-34%-5 == -4?
I don't understand why it comes out to -4, can someone write it out like i did above and show me?
also how is 4%6 = 4?
thanks!

[transcendental]

-34%-5=-4

I believe that is because when a negative number divided by a negative number, it's remainder is a negative number unless you are talking about the result which is positive.

4%6 = 4

This is correct. The division result is zero and the remainder is 4.

[voidflux]

Thanks for the reply but I still don't understand why it equals -4 or why 4%6 = 4?
Can you write it out like u were going to solve it on a piece of paper? Like I did above with 35%5;
Thanks

[SteveCRM]

4%6=4 because 6 goes into 4 0 times with a remainder of 4...

[voidflux]

OHhh! I get it now! I don't nkow what the hell i was doing above, thanks!!