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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)129567}\\\end{array}
Use the 1^{st} digit 1 from dividend 129567
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)129567}\\\end{array}
Since 1 is less than 100, use the next digit 2 from dividend 129567 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)129567}\\\end{array}
Use the 2^{nd} digit 2 from dividend 129567
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)129567}\\\end{array}
Since 12 is less than 100, use the next digit 9 from dividend 129567 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)129567}\\\end{array}
Use the 3^{rd} digit 9 from dividend 129567
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}29\\\end{array}
Find closest multiple of 100 to 129. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 129 to get reminder 29. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}295\\\end{array}
Use the 4^{th} digit 5 from dividend 129567
\begin{array}{l}\phantom{100)}0012\phantom{8}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}295\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)99}95\\\end{array}
Find closest multiple of 100 to 295. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 295 to get reminder 95. Add 2 to quotient.
\begin{array}{l}\phantom{100)}0012\phantom{9}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}295\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)99}956\\\end{array}
Use the 5^{th} digit 6 from dividend 129567
\begin{array}{l}\phantom{100)}00129\phantom{10}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}295\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)99}956\\\phantom{100)}\underline{\phantom{99}900\phantom{9}}\\\phantom{100)999}56\\\end{array}
Find closest multiple of 100 to 956. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 956 to get reminder 56. Add 9 to quotient.
\begin{array}{l}\phantom{100)}00129\phantom{11}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}295\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)99}956\\\phantom{100)}\underline{\phantom{99}900\phantom{9}}\\\phantom{100)999}567\\\end{array}
Use the 6^{th} digit 7 from dividend 129567
\begin{array}{l}\phantom{100)}001295\phantom{12}\\100\overline{)129567}\\\phantom{100)}\underline{\phantom{}100\phantom{999}}\\\phantom{100)9}295\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)99}956\\\phantom{100)}\underline{\phantom{99}900\phantom{9}}\\\phantom{100)999}567\\\phantom{100)}\underline{\phantom{999}500\phantom{}}\\\phantom{100)9999}67\\\end{array}
Find closest multiple of 100 to 567. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 567 to get reminder 67. Add 5 to quotient.
\text{Quotient: }1295 \text{Reminder: }67
Since 67 is less than 100, stop the division. The reminder is 67. The topmost line 001295 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1295.