Evaluate
\frac{95}{36}\approx 2.638888889
Factor
\frac{5 \cdot 19}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{23}{36} = 2.638888888888889
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\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)950}\\\end{array}
Use the 1^{st} digit 9 from dividend 950
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)950}\\\end{array}
Since 9 is less than 360, use the next digit 5 from dividend 950 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)950}\\\end{array}
Use the 2^{nd} digit 5 from dividend 950
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)950}\\\end{array}
Since 95 is less than 360, use the next digit 0 from dividend 950 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)950}\\\end{array}
Use the 3^{rd} digit 0 from dividend 950
\begin{array}{l}\phantom{360)}002\phantom{6}\\360\overline{)950}\\\phantom{360)}\underline{\phantom{}720\phantom{}}\\\phantom{360)}230\\\end{array}
Find closest multiple of 360 to 950. We see that 2 \times 360 = 720 is the nearest. Now subtract 720 from 950 to get reminder 230. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }230
Since 230 is less than 360, stop the division. The reminder is 230. The topmost line 002 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}