Evaluate
\frac{5}{2}=2.5
Factor
\frac{5}{2} = 2\frac{1}{2} = 2.5
Share
Copied to clipboard
\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)75}\\\end{array}
Use the 1^{st} digit 7 from dividend 75
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)75}\\\end{array}
Since 7 is less than 30, use the next digit 5 from dividend 75 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)75}\\\end{array}
Use the 2^{nd} digit 5 from dividend 75
\begin{array}{l}\phantom{30)}02\phantom{4}\\30\overline{)75}\\\phantom{30)}\underline{\phantom{}60\phantom{}}\\\phantom{30)}15\\\end{array}
Find closest multiple of 30 to 75. We see that 2 \times 30 = 60 is the nearest. Now subtract 60 from 75 to get reminder 15. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }15
Since 15 is less than 30, stop the division. The reminder is 15. 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}