Evaluate
\frac{539}{100}=5.39
Factor
\frac{7 ^ {2} \cdot 11}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{39}{100} = 5.39
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)539}\\\end{array}
Use the 1^{st} digit 5 from dividend 539
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)539}\\\end{array}
Since 5 is less than 100, use the next digit 3 from dividend 539 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)539}\\\end{array}
Use the 2^{nd} digit 3 from dividend 539
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)539}\\\end{array}
Since 53 is less than 100, use the next digit 9 from dividend 539 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)539}\\\end{array}
Use the 3^{rd} digit 9 from dividend 539
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)539}\\\phantom{100)}\underline{\phantom{}500\phantom{}}\\\phantom{100)9}39\\\end{array}
Find closest multiple of 100 to 539. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 539 to get reminder 39. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }39
Since 39 is less than 100, stop the division. The reminder is 39. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}