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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)3768}\\\end{array}
Use the 1^{st} digit 3 from dividend 3768
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)3768}\\\end{array}
Since 3 is less than 40, use the next digit 7 from dividend 3768 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)3768}\\\end{array}
Use the 2^{nd} digit 7 from dividend 3768
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)3768}\\\end{array}
Since 37 is less than 40, use the next digit 6 from dividend 3768 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)3768}\\\end{array}
Use the 3^{rd} digit 6 from dividend 3768
\begin{array}{l}\phantom{40)}009\phantom{6}\\40\overline{)3768}\\\phantom{40)}\underline{\phantom{}360\phantom{9}}\\\phantom{40)9}16\\\end{array}
Find closest multiple of 40 to 376. We see that 9 \times 40 = 360 is the nearest. Now subtract 360 from 376 to get reminder 16. Add 9 to quotient.
\begin{array}{l}\phantom{40)}009\phantom{7}\\40\overline{)3768}\\\phantom{40)}\underline{\phantom{}360\phantom{9}}\\\phantom{40)9}168\\\end{array}
Use the 4^{th} digit 8 from dividend 3768
\begin{array}{l}\phantom{40)}0094\phantom{8}\\40\overline{)3768}\\\phantom{40)}\underline{\phantom{}360\phantom{9}}\\\phantom{40)9}168\\\phantom{40)}\underline{\phantom{9}160\phantom{}}\\\phantom{40)999}8\\\end{array}
Find closest multiple of 40 to 168. We see that 4 \times 40 = 160 is the nearest. Now subtract 160 from 168 to get reminder 8. Add 4 to quotient.
\text{Quotient: }94 \text{Reminder: }8
Since 8 is less than 40, stop the division. The reminder is 8. The topmost line 0094 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 94.