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\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)594}\\\end{array}
Use the 1^{st} digit 5 from dividend 594
\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)594}\\\end{array}
Since 5 is less than 66, use the next digit 9 from dividend 594 and add 0 to the quotient
\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)594}\\\end{array}
Use the 2^{nd} digit 9 from dividend 594
\begin{array}{l}\phantom{66)}00\phantom{4}\\66\overline{)594}\\\end{array}
Since 59 is less than 66, use the next digit 4 from dividend 594 and add 0 to the quotient
\begin{array}{l}\phantom{66)}00\phantom{5}\\66\overline{)594}\\\end{array}
Use the 3^{rd} digit 4 from dividend 594
\begin{array}{l}\phantom{66)}009\phantom{6}\\66\overline{)594}\\\phantom{66)}\underline{\phantom{}594\phantom{}}\\\phantom{66)999}0\\\end{array}
Find closest multiple of 66 to 594. We see that 9 \times 66 = 594 is the nearest. Now subtract 594 from 594 to get reminder 0. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }0
Since 0 is less than 66, stop the division. The reminder is 0. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.