Evaluate
\frac{539}{12}\approx 44.916666667
Factor
\frac{7 ^ {2} \cdot 11}{2 ^ {2} \cdot 3} = 44\frac{11}{12} = 44.916666666666664
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)539}\\\end{array}
Use the 1^{st} digit 5 from dividend 539
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)539}\\\end{array}
Since 5 is less than 12, use the next digit 3 from dividend 539 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)539}\\\end{array}
Use the 2^{nd} digit 3 from dividend 539
\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)539}\\\phantom{12)}\underline{\phantom{}48\phantom{9}}\\\phantom{12)9}5\\\end{array}
Find closest multiple of 12 to 53. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 53 to get reminder 5. Add 4 to quotient.
\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)539}\\\phantom{12)}\underline{\phantom{}48\phantom{9}}\\\phantom{12)9}59\\\end{array}
Use the 3^{rd} digit 9 from dividend 539
\begin{array}{l}\phantom{12)}044\phantom{6}\\12\overline{)539}\\\phantom{12)}\underline{\phantom{}48\phantom{9}}\\\phantom{12)9}59\\\phantom{12)}\underline{\phantom{9}48\phantom{}}\\\phantom{12)9}11\\\end{array}
Find closest multiple of 12 to 59. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 59 to get reminder 11. Add 4 to quotient.
\text{Quotient: }44 \text{Reminder: }11
Since 11 is less than 12, stop the division. The reminder is 11. The topmost line 044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}