Evaluate
\frac{5}{2}=2.5
Factor
\frac{5}{2} = 2\frac{1}{2} = 2.5
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)70}\\\end{array}
Use the 1^{st} digit 7 from dividend 70
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)70}\\\end{array}
Since 7 is less than 28, use the next digit 0 from dividend 70 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)70}\\\end{array}
Use the 2^{nd} digit 0 from dividend 70
\begin{array}{l}\phantom{28)}02\phantom{4}\\28\overline{)70}\\\phantom{28)}\underline{\phantom{}56\phantom{}}\\\phantom{28)}14\\\end{array}
Find closest multiple of 28 to 70. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 70 to get reminder 14. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }14
Since 14 is less than 28, stop the division. The reminder is 14. 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}