Find closest multiple of $2512$ to $8792$. We see that $3 \times 2512 = 7536$ is the nearest. Now subtract $7536$ from $8792$ to get reminder $1256$. Add $3$ to quotient.
Find closest multiple of $2512$ to $12560$. We see that $5 \times 2512 = 12560$ is the nearest. Now subtract $12560$ from $12560$ to get reminder $0$. Add $5$ to quotient.
Since $0$ is less than $2512$, stop the division. The reminder is $0$. The topmost line $00035$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $35$.