Evaluate
\frac{5}{2}=2.5
Factor
\frac{5}{2} = 2\frac{1}{2} = 2.5
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)50}\\\end{array}
Use the 1^{st} digit 5 from dividend 50
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)50}\\\end{array}
Since 5 is less than 20, use the next digit 0 from dividend 50 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)50}\\\end{array}
Use the 2^{nd} digit 0 from dividend 50
\begin{array}{l}\phantom{20)}02\phantom{4}\\20\overline{)50}\\\phantom{20)}\underline{\phantom{}40\phantom{}}\\\phantom{20)}10\\\end{array}
Find closest multiple of 20 to 50. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 50 to get reminder 10. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }10
Since 10 is less than 20, stop the division. The reminder is 10. The topmost line 02 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}