Division of Algebraic Expressions
$$
\begin{array}{r}
x+4\phantom{)} \\
x-2{\overline{\smash{\big)}\,x^2+2x+3\phantom{)}}}\\
\underline{-~\phantom{()}(x^2-2x)\phantom{-b)}}\\
4x+3\phantom{)}\\
\underline{-~\phantom{()}(4x-8)}\\
0+11\phantom{)}
\end{array}
$$
$$
\begin{array}{|l}
\llap{2~~~~} 12600\\ \hline
\llap{2~~~~} 6300 \\ \hline
\llap{2~~~~} 3150 \\ \hline
\llap{5~~~~} 1575 \\ \hline
\llap{5~~~~} 315 \\ \hline
\llap{7~~~~} 63 \\ \hline
\llap{3~~~~} 9 \\ \hline
3
\end{array}
$$