Evaluate
\frac{5}{3}\approx 1.666666667
Factor
\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667
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\begin{array}{l}\phantom{300000)}\phantom{1}\\300000\overline{)500000}\\\end{array}
Use the 1^{st} digit 5 from dividend 500000
\begin{array}{l}\phantom{300000)}0\phantom{2}\\300000\overline{)500000}\\\end{array}
Since 5 is less than 300000, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{300000)}0\phantom{3}\\300000\overline{)500000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 500000
\begin{array}{l}\phantom{300000)}00\phantom{4}\\300000\overline{)500000}\\\end{array}
Since 50 is less than 300000, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{300000)}00\phantom{5}\\300000\overline{)500000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 500000
\begin{array}{l}\phantom{300000)}000\phantom{6}\\300000\overline{)500000}\\\end{array}
Since 500 is less than 300000, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{300000)}000\phantom{7}\\300000\overline{)500000}\\\end{array}
Use the 4^{th} digit 0 from dividend 500000
\begin{array}{l}\phantom{300000)}0000\phantom{8}\\300000\overline{)500000}\\\end{array}
Since 5000 is less than 300000, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{300000)}0000\phantom{9}\\300000\overline{)500000}\\\end{array}
Use the 5^{th} digit 0 from dividend 500000
\begin{array}{l}\phantom{300000)}00000\phantom{10}\\300000\overline{)500000}\\\end{array}
Since 50000 is less than 300000, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{300000)}00000\phantom{11}\\300000\overline{)500000}\\\end{array}
Use the 6^{th} digit 0 from dividend 500000
\begin{array}{l}\phantom{300000)}000001\phantom{12}\\300000\overline{)500000}\\\phantom{300000)}\underline{\phantom{}300000\phantom{}}\\\phantom{300000)}200000\\\end{array}
Find closest multiple of 300000 to 500000. We see that 1 \times 300000 = 300000 is the nearest. Now subtract 300000 from 500000 to get reminder 200000. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }200000
Since 200000 is less than 300000, stop the division. The reminder is 200000. The topmost line 000001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}