Evaluate
\frac{7}{3}\approx 2.333333333
Factor
\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335
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\begin{array}{l}\phantom{150000)}\phantom{1}\\150000\overline{)350000}\\\end{array}
Use the 1^{st} digit 3 from dividend 350000
\begin{array}{l}\phantom{150000)}0\phantom{2}\\150000\overline{)350000}\\\end{array}
Since 3 is less than 150000, use the next digit 5 from dividend 350000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}0\phantom{3}\\150000\overline{)350000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 350000
\begin{array}{l}\phantom{150000)}00\phantom{4}\\150000\overline{)350000}\\\end{array}
Since 35 is less than 150000, use the next digit 0 from dividend 350000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}00\phantom{5}\\150000\overline{)350000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 350000
\begin{array}{l}\phantom{150000)}000\phantom{6}\\150000\overline{)350000}\\\end{array}
Since 350 is less than 150000, use the next digit 0 from dividend 350000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}000\phantom{7}\\150000\overline{)350000}\\\end{array}
Use the 4^{th} digit 0 from dividend 350000
\begin{array}{l}\phantom{150000)}0000\phantom{8}\\150000\overline{)350000}\\\end{array}
Since 3500 is less than 150000, use the next digit 0 from dividend 350000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}0000\phantom{9}\\150000\overline{)350000}\\\end{array}
Use the 5^{th} digit 0 from dividend 350000
\begin{array}{l}\phantom{150000)}00000\phantom{10}\\150000\overline{)350000}\\\end{array}
Since 35000 is less than 150000, use the next digit 0 from dividend 350000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}00000\phantom{11}\\150000\overline{)350000}\\\end{array}
Use the 6^{th} digit 0 from dividend 350000
\begin{array}{l}\phantom{150000)}000002\phantom{12}\\150000\overline{)350000}\\\phantom{150000)}\underline{\phantom{}300000\phantom{}}\\\phantom{150000)9}50000\\\end{array}
Find closest multiple of 150000 to 350000. We see that 2 \times 150000 = 300000 is the nearest. Now subtract 300000 from 350000 to get reminder 50000. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }50000
Since 50000 is less than 150000, stop the division. The reminder is 50000. The topmost line 000002 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}