5x2 +5x +3 (quotient)
5x-5)25x3 +0x2-10x-11
25x3-25x2 (subtract) (5x goes into 25x3 5x2 times, so multiply divisor by 5x2)
25x2-10x
25x2-25x (subtract) (5x goes into 25x2 5x times, so multiply divisor by 5x)
15x-11
15x-15 (subtract) (5x goes into 15x 3 times, so multiply divisor by 3)
4 (remainder)
ANSWER: 5x2+5x+3 remainder 4.