Find closest multiple of $13$ to $80$. We see that $6 \times 13 = 78$ is the nearest. Now subtract $78$ from $80$ to get reminder $2$. Add $6$ to quotient.
Find closest multiple of $13$ to $26$. We see that $2 \times 13 = 26$ is the nearest. Now subtract $26$ from $26$ to get reminder $0$. Add $2$ to quotient.
Since $0$ is less than $13$, stop the division. The reminder is $0$. The topmost line $062$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $62$.