Evaluate
\frac{500}{9}\approx 55.555555556
Factor
\frac{2 ^ {2} \cdot 5 ^ {3}}{3 ^ {2}} = 55\frac{5}{9} = 55.55555555555556
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\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)200000}\\\end{array}
Use the 1^{st} digit 2 from dividend 200000
\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)200000}\\\end{array}
Since 2 is less than 3600, use the next digit 0 from dividend 200000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)200000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 200000
\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)200000}\\\end{array}
Since 20 is less than 3600, use the next digit 0 from dividend 200000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)200000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 200000
\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)200000}\\\end{array}
Since 200 is less than 3600, use the next digit 0 from dividend 200000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)200000}\\\end{array}
Use the 4^{th} digit 0 from dividend 200000
\begin{array}{l}\phantom{3600)}0000\phantom{8}\\3600\overline{)200000}\\\end{array}
Since 2000 is less than 3600, use the next digit 0 from dividend 200000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0000\phantom{9}\\3600\overline{)200000}\\\end{array}
Use the 5^{th} digit 0 from dividend 200000
\begin{array}{l}\phantom{3600)}00005\phantom{10}\\3600\overline{)200000}\\\phantom{3600)}\underline{\phantom{}18000\phantom{9}}\\\phantom{3600)9}2000\\\end{array}
Find closest multiple of 3600 to 20000. We see that 5 \times 3600 = 18000 is the nearest. Now subtract 18000 from 20000 to get reminder 2000. Add 5 to quotient.
\begin{array}{l}\phantom{3600)}00005\phantom{11}\\3600\overline{)200000}\\\phantom{3600)}\underline{\phantom{}18000\phantom{9}}\\\phantom{3600)9}20000\\\end{array}
Use the 6^{th} digit 0 from dividend 200000
\begin{array}{l}\phantom{3600)}000055\phantom{12}\\3600\overline{)200000}\\\phantom{3600)}\underline{\phantom{}18000\phantom{9}}\\\phantom{3600)9}20000\\\phantom{3600)}\underline{\phantom{9}18000\phantom{}}\\\phantom{3600)99}2000\\\end{array}
Find closest multiple of 3600 to 20000. We see that 5 \times 3600 = 18000 is the nearest. Now subtract 18000 from 20000 to get reminder 2000. Add 5 to quotient.
\text{Quotient: }55 \text{Reminder: }2000
Since 2000 is less than 3600, stop the division. The reminder is 2000. The topmost line 000055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.
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}