Evaluate
\frac{36}{5}=7.2
Factor
\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)7200}\\\end{array}
Use the 1^{st} digit 7 from dividend 7200
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)7200}\\\end{array}
Since 7 is less than 1000, use the next digit 2 from dividend 7200 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)7200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 7200
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)7200}\\\end{array}
Since 72 is less than 1000, use the next digit 0 from dividend 7200 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)7200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7200
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)7200}\\\end{array}
Since 720 is less than 1000, use the next digit 0 from dividend 7200 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)7200}\\\end{array}
Use the 4^{th} digit 0 from dividend 7200
\begin{array}{l}\phantom{1000)}0007\phantom{8}\\1000\overline{)7200}\\\phantom{1000)}\underline{\phantom{}7000\phantom{}}\\\phantom{1000)9}200\\\end{array}
Find closest multiple of 1000 to 7200. We see that 7 \times 1000 = 7000 is the nearest. Now subtract 7000 from 7200 to get reminder 200. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }200
Since 200 is less than 1000, stop the division. The reminder is 200. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}