Calculate the square root of 1636683.

Step 1: Perform long division for the first problem, $2002 \div 154$.

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 $\boxed{13}$.

Step 2: Perform long division for the second problem, $6683 \div 163$.

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 $\boxed{41}$.