remainder from division of negative: the remainder of (-20)^777 divided by 6

[ketanco]

what is the remainder of
(-20)^777 divided by 6?

answer is 4

do you divide -20 by 6 and get a remainder of -2, and then bring it to positive by adding 6 which makes it 4?

 

[Dr.Peterson]

what is the remainder of
(-20)^777 divided by 6?

answer is 4

do you divide -20 by 6 and get a remainder of -2, and then bring it to positive by adding 6 which makes it 4?

The meaning of "remainder" depends somewhat on context, but here is probably means "least positive residue", and what you say is correct (for the remainder of -20 divided by 6).