Divide using long division. Check your answer.

(x^3 + 3x^2 - x - 4) divided by (x-1)

The quotient is ___ with a remainder of ___.

Simply the answers, do not factor.

Hard to show the steps in the format of Jiskha

but there are plenty of nice videos that show the steps for
algebraic long division.

Sal does a nice job on his Khan Academy website.
Here is a quadratic divided by a binomial, easily adapted to yours.
(copy and paste this URL)

www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:quad-div-by-linear/v/quad-div-by-linear-with-remainder