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\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)105}\\\end{array}
Use the 1^{st} digit 1 from dividend 105
\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)105}\\\end{array}
Since 1 is less than 75, use the next digit 0 from dividend 105 and add 0 to the quotient
\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)105}\\\end{array}
Use the 2^{nd} digit 0 from dividend 105
\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)105}\\\end{array}
Since 10 is less than 75, use the next digit 5 from dividend 105 and add 0 to the quotient
\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)105}\\\end{array}
Use the 3^{rd} digit 5 from dividend 105
\begin{array}{l}\phantom{75)}001\phantom{6}\\75\overline{)105}\\\phantom{75)}\underline{\phantom{9}75\phantom{}}\\\phantom{75)9}30\\\end{array}
Find closest multiple of 75 to 105. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 105 to get reminder 30. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }30
Since 30 is less than 75, stop the division. The reminder is 30. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.