3. In this question, the function $\operatorname { INT } ( X )$ is the largest integer less than or equal to $X$.

For example,

$$\begin{aligned}
\mathrm { INT } ( 5.7 ) & = 5 \\
\mathrm { INT } ( 8 ) & = 8 \\
\mathrm { INT } ( - 2.3 ) & = - 3
\end{aligned}$$

Consider the following algorithm.\\
Step 1 Input $N$\\
Step 2 Calculate $A = N \div 10$\\
Step 3 Let $B = \operatorname { INT } ( A )$\\
Step 4 Calculate $C = B \times 10$\\
Step 5 Calculate $D = N - C$\\
Step 6 Output $D$\\
Step $7 \quad$ Replace $N$ by $B$\\
Step 8 If $N = 0$ then STOP, otherwise go back to Step 2
\begin{enumerate}[label=(\alph*)]
\item Complete the table in the answer book, using $N = 4217$, to show the results obtained at each step of the algorithm.
\item Explain how the output values of the algorithm relate to the original input $N$, where $N$ is any positive integer.
\end{enumerate}

\hfill \mbox{\textit{Edexcel D1 2023 Q3 [6]}}