Calculate the square root of 1636683.

Step 1: Perform long division for $6683 \div 163$.

$$\begin{array}{r} 41 \\ 163 \overline{) 6683} \\ -652 \downarrow \\ \hline 163 \\ -163 \\ \hline 0 \end{array}$$

First, divide 668 by 163.
$163 \times 4 = 652$.
Write 4 above the 8 in 6683.
Subtract 652 from 668 to get 16.
Bring down the next digit, 3, to make 163.
Next, divide 163 by 163.
$163 \times 1 = 163$.
Write 1 above the 3 in 6683.
Subtract 163 from 163 to get 0.

The result of the division is $\text{41}$.