I need to find the remainder of
Long division

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.................................................. .................8

Synthetic Division

1 [ 1 0 0 0 0 -6 3]

........1 1 1 1 1 5

........1 1 1 1 5 8

It seems that the remainder is

, however I know the answer is

. Where am I going wrong here? Why does P(1) give the remainder?