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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)3768}\\\end{array}
Use the 1^{st} digit 3 from dividend 3768
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)3768}\\\end{array}
Since 3 is less than 20, use the next digit 7 from dividend 3768 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)3768}\\\end{array}
Use the 2^{nd} digit 7 from dividend 3768
\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)3768}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}17\\\end{array}
Find closest multiple of 20 to 37. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 37 to get reminder 17. Add 1 to quotient.
\begin{array}{l}\phantom{20)}01\phantom{5}\\20\overline{)3768}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}176\\\end{array}
Use the 3^{rd} digit 6 from dividend 3768
\begin{array}{l}\phantom{20)}018\phantom{6}\\20\overline{)3768}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}176\\\phantom{20)}\underline{\phantom{}160\phantom{9}}\\\phantom{20)9}16\\\end{array}
Find closest multiple of 20 to 176. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 176 to get reminder 16. Add 8 to quotient.
\begin{array}{l}\phantom{20)}018\phantom{7}\\20\overline{)3768}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}176\\\phantom{20)}\underline{\phantom{}160\phantom{9}}\\\phantom{20)9}168\\\end{array}
Use the 4^{th} digit 8 from dividend 3768
\begin{array}{l}\phantom{20)}0188\phantom{8}\\20\overline{)3768}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}176\\\phantom{20)}\underline{\phantom{}160\phantom{9}}\\\phantom{20)9}168\\\phantom{20)}\underline{\phantom{9}160\phantom{}}\\\phantom{20)999}8\\\end{array}
Find closest multiple of 20 to 168. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 168 to get reminder 8. Add 8 to quotient.
\text{Quotient: }188 \text{Reminder: }8
Since 8 is less than 20, stop the division. The reminder is 8. The topmost line 0188 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 188.