Calculate the square root of 1636683.

$$\begin{array}{r} 13 \\ 154 \overline{) 2002} \\ -154 \downarrow \\ \hline 462 \\ -462 \\ \hline 0 \end{array}$$

First, divide 200 by 154. $154 \times 1 = 154$.
Subtract 154 from 200 to get 46.
Bring down the next digit, 2, to make 462.
Next, divide 462 by 154. $154 \times 3 = 462$.
Subtract 462 from 462 to get 0.

The result of the first division is $\boxed{\text{13}}$.

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

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

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