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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)412002}\\\end{array}
Use the 1^{st} digit 4 from dividend 412002
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)412002}\\\end{array}
Since 4 is less than 12, use the next digit 1 from dividend 412002 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)412002}\\\end{array}
Use the 2^{nd} digit 1 from dividend 412002
\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}5\\\end{array}
Find closest multiple of 12 to 41. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 41 to get reminder 5. Add 3 to quotient.
\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\end{array}
Use the 3^{rd} digit 2 from dividend 412002
\begin{array}{l}\phantom{12)}034\phantom{6}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}4\\\end{array}
Find closest multiple of 12 to 52. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 4 to quotient.
\begin{array}{l}\phantom{12)}034\phantom{7}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}40\\\end{array}
Use the 4^{th} digit 0 from dividend 412002
\begin{array}{l}\phantom{12)}0343\phantom{8}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{99}}\\\phantom{12)999}4\\\end{array}
Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.
\begin{array}{l}\phantom{12)}0343\phantom{9}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{99}}\\\phantom{12)999}40\\\end{array}
Use the 5^{th} digit 0 from dividend 412002
\begin{array}{l}\phantom{12)}03433\phantom{10}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{99}}\\\phantom{12)999}40\\\phantom{12)}\underline{\phantom{999}36\phantom{9}}\\\phantom{12)9999}4\\\end{array}
Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.
\begin{array}{l}\phantom{12)}03433\phantom{11}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{99}}\\\phantom{12)999}40\\\phantom{12)}\underline{\phantom{999}36\phantom{9}}\\\phantom{12)9999}42\\\end{array}
Use the 6^{th} digit 2 from dividend 412002
\begin{array}{l}\phantom{12)}034333\phantom{12}\\12\overline{)412002}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{99}}\\\phantom{12)999}40\\\phantom{12)}\underline{\phantom{999}36\phantom{9}}\\\phantom{12)9999}42\\\phantom{12)}\underline{\phantom{9999}36\phantom{}}\\\phantom{12)99999}6\\\end{array}
Find closest multiple of 12 to 42. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 42 to get reminder 6. Add 3 to quotient.
\text{Quotient: }34333 \text{Reminder: }6
Since 6 is less than 12, stop the division. The reminder is 6. The topmost line 034333 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34333.