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\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)114}\\\end{array}
Use the 1^{st} digit 1 from dividend 114
\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)114}\\\end{array}
Since 1 is less than 19, use the next digit 1 from dividend 114 and add 0 to the quotient
\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)114}\\\end{array}
Use the 2^{nd} digit 1 from dividend 114
\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)114}\\\end{array}
Since 11 is less than 19, use the next digit 4 from dividend 114 and add 0 to the quotient
\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)114}\\\end{array}
Use the 3^{rd} digit 4 from dividend 114
\begin{array}{l}\phantom{19)}006\phantom{6}\\19\overline{)114}\\\phantom{19)}\underline{\phantom{}114\phantom{}}\\\phantom{19)999}0\\\end{array}
Find closest multiple of 19 to 114. We see that 6 \times 19 = 114 is the nearest. Now subtract 114 from 114 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.