142 \%
Evaluate
\frac{71}{50}=1.42
Factor
\frac{71}{2 \cdot 5 ^ {2}} = 1\frac{21}{50} = 1.42
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)142}\\\end{array}
Use the 1^{st} digit 1 from dividend 142
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)142}\\\end{array}
Since 1 is less than 100, use the next digit 4 from dividend 142 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)142}\\\end{array}
Use the 2^{nd} digit 4 from dividend 142
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)142}\\\end{array}
Since 14 is less than 100, use the next digit 2 from dividend 142 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)142}\\\end{array}
Use the 3^{rd} digit 2 from dividend 142
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)142}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}42\\\end{array}
Find closest multiple of 100 to 142. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 142 to get reminder 42. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }42
Since 42 is less than 100, stop the division. The reminder is 42. The topmost line 001 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}