Find closest multiple of $76$ to $634$. We see that $8 \times 76 = 608$ is the nearest. Now subtract $608$ from $634$ to get reminder $26$. Add $8$ to quotient.
Find closest multiple of $76$ to $262$. We see that $3 \times 76 = 228$ is the nearest. Now subtract $228$ from $262$ to get reminder $34$. Add $3$ to quotient.
Since $34$ is less than $76$, stop the division. The reminder is $34$. The topmost line $0083$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $83$.