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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)434}\\\end{array}
Use the 1^{st} digit 4 from dividend 434
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)434}\\\end{array}
Since 4 is less than 14, use the next digit 3 from dividend 434 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)434}\\\end{array}
Use the 2^{nd} digit 3 from dividend 434
\begin{array}{l}\phantom{14)}03\phantom{4}\\14\overline{)434}\\\phantom{14)}\underline{\phantom{}42\phantom{9}}\\\phantom{14)9}1\\\end{array}
Find closest multiple of 14 to 43. We see that 3 \times 14 = 42 is the nearest. Now subtract 42 from 43 to get reminder 1. Add 3 to quotient.
\begin{array}{l}\phantom{14)}03\phantom{5}\\14\overline{)434}\\\phantom{14)}\underline{\phantom{}42\phantom{9}}\\\phantom{14)9}14\\\end{array}
Use the 3^{rd} digit 4 from dividend 434
\begin{array}{l}\phantom{14)}031\phantom{6}\\14\overline{)434}\\\phantom{14)}\underline{\phantom{}42\phantom{9}}\\\phantom{14)9}14\\\phantom{14)}\underline{\phantom{9}14\phantom{}}\\\phantom{14)999}0\\\end{array}
Find closest multiple of 14 to 14. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 14 to get reminder 0. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }0
Since 0 is less than 14, stop the division. The reminder is 0. The topmost line 031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.