Evaluate
\frac{24}{5}=4.8
Factor
\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)96}\\\end{array}
Use the 1^{st} digit 9 from dividend 96
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)96}\\\end{array}
Since 9 is less than 20, use the next digit 6 from dividend 96 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)96}\\\end{array}
Use the 2^{nd} digit 6 from dividend 96
\begin{array}{l}\phantom{20)}04\phantom{4}\\20\overline{)96}\\\phantom{20)}\underline{\phantom{}80\phantom{}}\\\phantom{20)}16\\\end{array}
Find closest multiple of 20 to 96. We see that 4 \times 20 = 80 is the nearest. Now subtract 80 from 96 to get reminder 16. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }16
Since 16 is less than 20, stop the division. The reminder is 16. The topmost line 04 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}