Find closest multiple of $15$ to $51$. We see that $3 \times 15 = 45$ is the nearest. Now subtract $45$ from $51$ to get reminder $6$. Add $3$ to quotient.
Find closest multiple of $15$ to $60$. We see that $4 \times 15 = 60$ is the nearest. Now subtract $60$ from $60$ to get reminder $0$. Add $4$ to quotient.
Since $0$ is less than $15$, stop the division. The reminder is $0$. The topmost line $034$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $34$.