Evaluate
\frac{8}{3}\approx 2.666666667
Factor
\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665
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\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)200}\\\end{array}
Use the 1^{st} digit 2 from dividend 200
\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)200}\\\end{array}
Since 2 is less than 75, use the next digit 0 from dividend 200 and add 0 to the quotient
\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)200}\\\end{array}
Use the 2^{nd} digit 0 from dividend 200
\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)200}\\\end{array}
Since 20 is less than 75, use the next digit 0 from dividend 200 and add 0 to the quotient
\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 200
\begin{array}{l}\phantom{75)}002\phantom{6}\\75\overline{)200}\\\phantom{75)}\underline{\phantom{}150\phantom{}}\\\phantom{75)9}50\\\end{array}
Find closest multiple of 75 to 200. We see that 2 \times 75 = 150 is the nearest. Now subtract 150 from 200 to get reminder 50. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }50
Since 50 is less than 75, stop the division. The reminder is 50. 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}