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\begin{array}{l}\phantom{350)}\phantom{1}\\350\overline{)559}\\\end{array}
Use the 1^{st} digit 5 from dividend 559
\begin{array}{l}\phantom{350)}0\phantom{2}\\350\overline{)559}\\\end{array}
Since 5 is less than 350, use the next digit 5 from dividend 559 and add 0 to the quotient
\begin{array}{l}\phantom{350)}0\phantom{3}\\350\overline{)559}\\\end{array}
Use the 2^{nd} digit 5 from dividend 559
\begin{array}{l}\phantom{350)}00\phantom{4}\\350\overline{)559}\\\end{array}
Since 55 is less than 350, use the next digit 9 from dividend 559 and add 0 to the quotient
\begin{array}{l}\phantom{350)}00\phantom{5}\\350\overline{)559}\\\end{array}
Use the 3^{rd} digit 9 from dividend 559
\begin{array}{l}\phantom{350)}001\phantom{6}\\350\overline{)559}\\\phantom{350)}\underline{\phantom{}350\phantom{}}\\\phantom{350)}209\\\end{array}
Find closest multiple of 350 to 559. We see that 1 \times 350 = 350 is the nearest. Now subtract 350 from 559 to get reminder 209. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }209
Since 209 is less than 350, stop the division. The reminder is 209. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.