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\begin{array}{l}\phantom{88)}\phantom{1}\\88\overline{)7744}\\\end{array}
Use the 1^{st} digit 7 from dividend 7744
\begin{array}{l}\phantom{88)}0\phantom{2}\\88\overline{)7744}\\\end{array}
Since 7 is less than 88, use the next digit 7 from dividend 7744 and add 0 to the quotient
\begin{array}{l}\phantom{88)}0\phantom{3}\\88\overline{)7744}\\\end{array}
Use the 2^{nd} digit 7 from dividend 7744
\begin{array}{l}\phantom{88)}00\phantom{4}\\88\overline{)7744}\\\end{array}
Since 77 is less than 88, use the next digit 4 from dividend 7744 and add 0 to the quotient
\begin{array}{l}\phantom{88)}00\phantom{5}\\88\overline{)7744}\\\end{array}
Use the 3^{rd} digit 4 from dividend 7744
\begin{array}{l}\phantom{88)}008\phantom{6}\\88\overline{)7744}\\\phantom{88)}\underline{\phantom{}704\phantom{9}}\\\phantom{88)9}70\\\end{array}
Find closest multiple of 88 to 774. We see that 8 \times 88 = 704 is the nearest. Now subtract 704 from 774 to get reminder 70. Add 8 to quotient.
\begin{array}{l}\phantom{88)}008\phantom{7}\\88\overline{)7744}\\\phantom{88)}\underline{\phantom{}704\phantom{9}}\\\phantom{88)9}704\\\end{array}
Use the 4^{th} digit 4 from dividend 7744
\begin{array}{l}\phantom{88)}0088\phantom{8}\\88\overline{)7744}\\\phantom{88)}\underline{\phantom{}704\phantom{9}}\\\phantom{88)9}704\\\phantom{88)}\underline{\phantom{9}704\phantom{}}\\\phantom{88)9999}0\\\end{array}
Find closest multiple of 88 to 704. We see that 8 \times 88 = 704 is the nearest. Now subtract 704 from 704 to get reminder 0. Add 8 to quotient.
\text{Quotient: }88 \text{Reminder: }0
Since 0 is less than 88, stop the division. The reminder is 0. The topmost line 0088 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88.