Find closest multiple of $636$ to $2035$. We see that $3 \times 636 = 1908$ is the nearest. Now subtract $1908$ from $2035$ to get reminder $127$. Add $3$ to quotient.
Find closest multiple of $636$ to $1272$. We see that $2 \times 636 = 1272$ is the nearest. Now subtract $1272$ from $1272$ to get reminder $0$. Add $2$ to quotient.
Since $0$ is less than $636$, stop the division. The reminder is $0$. The topmost line $00032$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $32$.