Find closest multiple of $556$ to $722$. We see that $1 \times 556 = 556$ is the nearest. Now subtract $556$ from $722$ to get reminder $166$. Add $1$ to quotient.
Find closest multiple of $556$ to $1668$. We see that $3 \times 556 = 1668$ is the nearest. Now subtract $1668$ from $1668$ to get reminder $0$. Add $3$ to quotient.
Since $0$ is less than $556$, stop the division. The reminder is $0$. The topmost line $0013$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $13$.