258 \%
Evaluate
\frac{129}{50}=2.58
Factor
\frac{3 \cdot 43}{2 \cdot 5 ^ {2}} = 2\frac{29}{50} = 2.58
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)258}\\\end{array}
Use the 1^{st} digit 2 from dividend 258
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)258}\\\end{array}
Since 2 is less than 100, use the next digit 5 from dividend 258 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)258}\\\end{array}
Use the 2^{nd} digit 5 from dividend 258
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)258}\\\end{array}
Since 25 is less than 100, use the next digit 8 from dividend 258 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)258}\\\end{array}
Use the 3^{rd} digit 8 from dividend 258
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)258}\\\phantom{100)}\underline{\phantom{}200\phantom{}}\\\phantom{100)9}58\\\end{array}
Find closest multiple of 100 to 258. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 258 to get reminder 58. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }58
Since 58 is less than 100, stop the division. The reminder is 58. 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}