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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)105}\\\end{array}
Use the 1^{st} digit 1 from dividend 105
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)105}\\\end{array}
Since 1 is less than 60, use the next digit 0 from dividend 105 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)105}\\\end{array}
Use the 2^{nd} digit 0 from dividend 105
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)105}\\\end{array}
Since 10 is less than 60, use the next digit 5 from dividend 105 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)105}\\\end{array}
Use the 3^{rd} digit 5 from dividend 105
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)105}\\\phantom{60)}\underline{\phantom{9}60\phantom{}}\\\phantom{60)9}45\\\end{array}
Find closest multiple of 60 to 105. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 105 to get reminder 45. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }45
Since 45 is less than 60, stop the division. The reminder is 45. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.