Evaluate
\frac{122}{25}=4.88
Factor
\frac{2 \cdot 61}{5 ^ {2}} = 4\frac{22}{25} = 4.88
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)244}\\\end{array}
Use the 1^{st} digit 2 from dividend 244
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)244}\\\end{array}
Since 2 is less than 50, use the next digit 4 from dividend 244 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)244}\\\end{array}
Use the 2^{nd} digit 4 from dividend 244
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)244}\\\end{array}
Since 24 is less than 50, use the next digit 4 from dividend 244 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)244}\\\end{array}
Use the 3^{rd} digit 4 from dividend 244
\begin{array}{l}\phantom{50)}004\phantom{6}\\50\overline{)244}\\\phantom{50)}\underline{\phantom{}200\phantom{}}\\\phantom{50)9}44\\\end{array}
Find closest multiple of 50 to 244. We see that 4 \times 50 = 200 is the nearest. Now subtract 200 from 244 to get reminder 44. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }44
Since 44 is less than 50, stop the division. The reminder is 44. 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}