Six consecutive whole numbers are each divided by 6. find the sum of the resulting six remainders

FYI this is the english section, not math.
anyway.

6 consectuve whole numbers are each divided by 6. find the sum of the resulting 6 remainders

so x, x+1, x+2, x+3, x+4, x+5
lets say that x=6
first one=no remainder
2nd=Remainder=1
3rd,R=2
4th R=3
5th R=4
6th R=5

addthem all tother (1+2+3+4+5) and get 15

if x=1 then
1st R=1
2nd R=2
3rd R=3
4th R=4
5th R=5
6th R=0
 notice that we get 1+2+3+4+5 same as the first equation so the answer sill always be 15