negative number divided by positive number, what would be remainder? my question is 


  If $-27$ is divided by $5$, what would be the remainder?
​​​​There are two conventions, depending on whether you allow the remainder to be negative.

Either you don't

$$-27 = -6 \times 5 + 3$$

or you do

$$-27 = -5 \times 5 + (-2)$$

Note that whatever convention you choose, the two possibilities for the remainder will always differ by $5$.
suppose you have a loan of 27 i.e -27.what will the loan amount which you have to pay after dividing the loan as much as possible.
after dividing the loan among 5 people each with -5 you will be still left with -2.so -2 must be the remainder.