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{25)}\phantom{1}\\25\overline{)120}\\\end{array}
Use the 1^{st} digit 1 from dividend 120
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)120}\\\end{array}
Since 1 is less than 25, use the next digit 2 from dividend 120 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)120}\\\end{array}
Use the 2^{nd} digit 2 from dividend 120
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)120}\\\end{array}
Since 12 is less than 25, use the next digit 0 from dividend 120 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)120}\\\end{array}
Use the 3^{rd} digit 0 from dividend 120
\begin{array}{l}\phantom{25)}004\phantom{6}\\25\overline{)120}\\\phantom{25)}\underline{\phantom{}100\phantom{}}\\\phantom{25)9}20\\\end{array}
Find closest multiple of 25 to 120. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 120 to get reminder 20. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }20
Since 20 is less than 25, stop the division. The reminder is 20. The topmost line 004 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}