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\begin{array}{l}\phantom{3676)}\phantom{1}\\3676\overline{)231588}\\\end{array}
Use the 1^{st} digit 2 from dividend 231588
\begin{array}{l}\phantom{3676)}0\phantom{2}\\3676\overline{)231588}\\\end{array}
Since 2 is less than 3676, use the next digit 3 from dividend 231588 and add 0 to the quotient
\begin{array}{l}\phantom{3676)}0\phantom{3}\\3676\overline{)231588}\\\end{array}
Use the 2^{nd} digit 3 from dividend 231588
\begin{array}{l}\phantom{3676)}00\phantom{4}\\3676\overline{)231588}\\\end{array}
Since 23 is less than 3676, use the next digit 1 from dividend 231588 and add 0 to the quotient
\begin{array}{l}\phantom{3676)}00\phantom{5}\\3676\overline{)231588}\\\end{array}
Use the 3^{rd} digit 1 from dividend 231588
\begin{array}{l}\phantom{3676)}000\phantom{6}\\3676\overline{)231588}\\\end{array}
Since 231 is less than 3676, use the next digit 5 from dividend 231588 and add 0 to the quotient
\begin{array}{l}\phantom{3676)}000\phantom{7}\\3676\overline{)231588}\\\end{array}
Use the 4^{th} digit 5 from dividend 231588
\begin{array}{l}\phantom{3676)}0000\phantom{8}\\3676\overline{)231588}\\\end{array}
Since 2315 is less than 3676, use the next digit 8 from dividend 231588 and add 0 to the quotient
\begin{array}{l}\phantom{3676)}0000\phantom{9}\\3676\overline{)231588}\\\end{array}
Use the 5^{th} digit 8 from dividend 231588
\begin{array}{l}\phantom{3676)}00006\phantom{10}\\3676\overline{)231588}\\\phantom{3676)}\underline{\phantom{}22056\phantom{9}}\\\phantom{3676)9}1102\\\end{array}
Find closest multiple of 3676 to 23158. We see that 6 \times 3676 = 22056 is the nearest. Now subtract 22056 from 23158 to get reminder 1102. Add 6 to quotient.
\begin{array}{l}\phantom{3676)}00006\phantom{11}\\3676\overline{)231588}\\\phantom{3676)}\underline{\phantom{}22056\phantom{9}}\\\phantom{3676)9}11028\\\end{array}
Use the 6^{th} digit 8 from dividend 231588
\begin{array}{l}\phantom{3676)}000063\phantom{12}\\3676\overline{)231588}\\\phantom{3676)}\underline{\phantom{}22056\phantom{9}}\\\phantom{3676)9}11028\\\phantom{3676)}\underline{\phantom{9}11028\phantom{}}\\\phantom{3676)999999}0\\\end{array}
Find closest multiple of 3676 to 11028. We see that 3 \times 3676 = 11028 is the nearest. Now subtract 11028 from 11028 to get reminder 0. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }0
Since 0 is less than 3676, stop the division. The reminder is 0. The topmost line 000063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.