Evaluate
\frac{5}{2}=2.5
Factor
\frac{5}{2} = 2\frac{1}{2} = 2.5
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\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)190}\\\end{array}
Use the 1^{st} digit 1 from dividend 190
\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)190}\\\end{array}
Since 1 is less than 76, use the next digit 9 from dividend 190 and add 0 to the quotient
\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)190}\\\end{array}
Use the 2^{nd} digit 9 from dividend 190
\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)190}\\\end{array}
Since 19 is less than 76, use the next digit 0 from dividend 190 and add 0 to the quotient
\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)190}\\\end{array}
Use the 3^{rd} digit 0 from dividend 190
\begin{array}{l}\phantom{76)}002\phantom{6}\\76\overline{)190}\\\phantom{76)}\underline{\phantom{}152\phantom{}}\\\phantom{76)9}38\\\end{array}
Find closest multiple of 76 to 190. We see that 2 \times 76 = 152 is the nearest. Now subtract 152 from 190 to get reminder 38. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }38
Since 38 is less than 76, stop the division. The reminder is 38. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}