Evaluate
\frac{50}{9}\approx 5.555555556
Factor
\frac{2 \cdot 5 ^ {2}}{3 ^ {2}} = 5\frac{5}{9} = 5.555555555555555
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\begin{array}{l}\phantom{10800)}\phantom{1}\\10800\overline{)60000}\\\end{array}
Use the 1^{st} digit 6 from dividend 60000
\begin{array}{l}\phantom{10800)}0\phantom{2}\\10800\overline{)60000}\\\end{array}
Since 6 is less than 10800, use the next digit 0 from dividend 60000 and add 0 to the quotient
\begin{array}{l}\phantom{10800)}0\phantom{3}\\10800\overline{)60000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 60000
\begin{array}{l}\phantom{10800)}00\phantom{4}\\10800\overline{)60000}\\\end{array}
Since 60 is less than 10800, use the next digit 0 from dividend 60000 and add 0 to the quotient
\begin{array}{l}\phantom{10800)}00\phantom{5}\\10800\overline{)60000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 60000
\begin{array}{l}\phantom{10800)}000\phantom{6}\\10800\overline{)60000}\\\end{array}
Since 600 is less than 10800, use the next digit 0 from dividend 60000 and add 0 to the quotient
\begin{array}{l}\phantom{10800)}000\phantom{7}\\10800\overline{)60000}\\\end{array}
Use the 4^{th} digit 0 from dividend 60000
\begin{array}{l}\phantom{10800)}0000\phantom{8}\\10800\overline{)60000}\\\end{array}
Since 6000 is less than 10800, use the next digit 0 from dividend 60000 and add 0 to the quotient
\begin{array}{l}\phantom{10800)}0000\phantom{9}\\10800\overline{)60000}\\\end{array}
Use the 5^{th} digit 0 from dividend 60000
\begin{array}{l}\phantom{10800)}00005\phantom{10}\\10800\overline{)60000}\\\phantom{10800)}\underline{\phantom{}54000\phantom{}}\\\phantom{10800)9}6000\\\end{array}
Find closest multiple of 10800 to 60000. We see that 5 \times 10800 = 54000 is the nearest. Now subtract 54000 from 60000 to get reminder 6000. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }6000
Since 6000 is less than 10800, stop the division. The reminder is 6000. The topmost line 00005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}