Tikz node or TikZmark Node, which fits for the figure?

Question

I want to draw the following picture:

But I got stuck where to start? What should I use normal TikZ node (\node) or TikZmark Node (\tikzmarknode)? I am not expert in tikz-pgf package. Your help is expected.

Added:

I tried:

\documentclass{article}

\usepackage{tikz}
\usetikzlibrary{tikzmark}

\begin{document}

\large 
\[
    \tikzmarknode{v1}{1}\tikzmarknode{v2}{4}\newline
    \tikzmarknode{A}{3}\tikzmarknode{B}{\raisebox{1em}{2}}\tikzmarknode{C}{4}\tikzmarknode{D}{5}\tikzmarknode{E}{6}\tikzmarknode{F}{3}
\]

\begin{tikzpicture}[remember picture,overlay]
    \tikzset{
        every node/.style={outer sep=2pt},
        lab/.style={font=\tiny,inner sep=0pt}}
        
        \draw[red] (B) to[out=90,in=90] node[lab,midway,above]{} (v2) ;  

\end{tikzpicture}
\end{document}

Answer 1

Using \tikzmarknode is a good idea. But first you need to draw the division problem without the arrows. An array works well for this. The syntax {*{12}{c@{\,}}} center-justifies each column but reduces the column spacing to 0, then adds a small thin space (\,) between each column. *{12} means repeat that 12 times. (You only have 7 columns at the moment, but maybe you'll add more.)

Placing the minus signs inside \mathllap prevents them from adding space to their columns.

Once the division problem is drawn, put the numbers that you want to be nodes inside \tikzmarknode. Then in a tikzpicture with options remember picture, overlay, draw the arrows from node to node using any tikz options you want such as looseness=, in=, out=, etc. You can place a node (I called it M) in the middle of one of those arrows.

\documentclass{article}

\usepackage{mathtools} % needed for \mathllap
\usepackage{tikz}
\usetikzlibrary{tikzmark}

\begin{document}

\[
\begin{array}{*{12}{c@{\,}}}
& & &1&\tikzmarknode{B}{4}& & &\\ \cline{3-8}
3&\tikzmarknode{A}{2}&\raisebox{.6pt}{\kern-.56pt)}&4&5&\tikzmarknode{C}{6}&3\\
&&&\smash{\vdots}&\\ \cline{4-8}
&&&1&3\\
&&&\mathllap{-}1&2\\ \cline{4-8}
&&&&1&\tikzmarknode{D}{6}\\
&&&&&\mathllap{-}\tikzmarknode{E}{8}\\ \cline{4-8}
&&&&&8
\end{array}
\]

\begin{tikzpicture}[remember picture, overlay, >=latex, shorten >=2pt, shorten <=2pt]
\draw[->](C)--(D);
\draw[<->, looseness=2.5](A.north)to[out=90, in=90]node[pos=.7](M){}(B);
\draw[->, looseness=1.5](M.center)to[out=60, in=0](E.east);
\end{tikzpicture}

\end{document}