Find closest multiple of $8764$ to $9876$. We see that $1 \times 8764 = 8764$ is the nearest. Now subtract $8764$ from $9876$ to get reminder $1112$. Add $1$ to quotient.
Find closest multiple of $8764$ to $11124$. We see that $1 \times 8764 = 8764$ is the nearest. Now subtract $8764$ from $11124$ to get reminder $2360$. Add $1$ to quotient.
Since $2360$ is less than $8764$, stop the division. The reminder is $2360$. The topmost line $00011$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11$.