Find the division of the following by synthetic division method: $p(x) = x^{3} - 4x^{2} + 5x + 3$ by $x - 2$.

(N/A) To divide $p(x) = x^{3} - 4x^{2} + 5x + 3$ by $x - 2$ using synthetic division:
$1$. Identify the coefficients of $p(x)$,which are $1, -4, 5, 3$.
$2$. The divisor is $x - 2$,so we use $x = 2$ for synthetic division.
$3$. Set up the synthetic division table:
$2 | 1, -4, 5, 3$
| $2$,-$4$,$2$
-----------------
| $1$,-$2$,$1$,$5$
$4$. The coefficients of the quotient are $1, -2, 1$,which corresponds to the polynomial $x^{2} - 2x + 1$.
$5$. The remainder is the last value,which is $5$.
Therefore,the quotient is $x^{2} - 2x + 1$ and the remainder is $5$.