Evaluate
\frac{267}{100}=2.67
Factor
\frac{3 \cdot 89}{2 ^ {2} \cdot 5 ^ {2}} = 2\frac{67}{100} = 2.67
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)267}\\\end{array}
Use the 1^{st} digit 2 from dividend 267
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)267}\\\end{array}
Since 2 is less than 100, use the next digit 6 from dividend 267 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)267}\\\end{array}
Use the 2^{nd} digit 6 from dividend 267
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)267}\\\end{array}
Since 26 is less than 100, use the next digit 7 from dividend 267 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)267}\\\end{array}
Use the 3^{rd} digit 7 from dividend 267
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)267}\\\phantom{100)}\underline{\phantom{}200\phantom{}}\\\phantom{100)9}67\\\end{array}
Find closest multiple of 100 to 267. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 267 to get reminder 67. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }67
Since 67 is less than 100, stop the division. The reminder is 67. The topmost line 002 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}