Express 711 as a repeating decimal. Mark the cycle of repeating digits with a bar.
To express 711 as a repeating decimal, we divide 711 by 1:
\[
\begin{array}{c|c}
711 & 1 \\
\end{array}
\]
We then multiply both the dividend and divisor by 9 to get rid of the decimal point:
\[
\begin{array}{c|c}
711 & 1 \\
\hline
6399 & 9 \\
\end{array}
\]
Now we divide 6399 by 9:
\[
\begin{array}{c|c}
711 & 1 \\
\hline
6399 & 9 \\
\hline
711 & \\
\end{array}
\]
The remainder is 711, which is the same as the original dividend. This indicates that the decimal will repeat at this point. Thus, the repeating decimal representation of 711 is $\boxed{0.\overline{711}}$.
To express 711 as a repeating decimal, we need to divide 711 by the desired denominator. Let's choose 9 as the denominator since it will give us a periodic repeating decimal.
When we divide 711 by 9, we get:
711 ÷ 9 = 79 remainder 6
To include the remainder in the decimal form, we can write it as a fraction with the divisor:
6 ÷ 9 = 0.666...
Putting it back together, we have:
711 ÷ 9 = 79 + 0.666...
So, 711 as a repeating decimal is 79.666... with the digit 6 repeating.