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\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)748}\\\end{array}
Use the 1^{st} digit 7 from dividend 748
\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)748}\\\end{array}
Since 7 is less than 44, use the next digit 4 from dividend 748 and add 0 to the quotient
\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)748}\\\end{array}
Use the 2^{nd} digit 4 from dividend 748
\begin{array}{l}\phantom{44)}01\phantom{4}\\44\overline{)748}\\\phantom{44)}\underline{\phantom{}44\phantom{9}}\\\phantom{44)}30\\\end{array}
Find closest multiple of 44 to 74. We see that 1 \times 44 = 44 is the nearest. Now subtract 44 from 74 to get reminder 30. Add 1 to quotient.
\begin{array}{l}\phantom{44)}01\phantom{5}\\44\overline{)748}\\\phantom{44)}\underline{\phantom{}44\phantom{9}}\\\phantom{44)}308\\\end{array}
Use the 3^{rd} digit 8 from dividend 748
\begin{array}{l}\phantom{44)}017\phantom{6}\\44\overline{)748}\\\phantom{44)}\underline{\phantom{}44\phantom{9}}\\\phantom{44)}308\\\phantom{44)}\underline{\phantom{}308\phantom{}}\\\phantom{44)999}0\\\end{array}
Find closest multiple of 44 to 308. We see that 7 \times 44 = 308 is the nearest. Now subtract 308 from 308 to get reminder 0. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }0
Since 0 is less than 44, stop the division. The reminder is 0. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.