521 \%
Evaluate
\frac{521}{100}=5.21
Factor
\frac{521}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{21}{100} = 5.21
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)521}\\\end{array}
Use the 1^{st} digit 5 from dividend 521
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)521}\\\end{array}
Since 5 is less than 100, use the next digit 2 from dividend 521 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)521}\\\end{array}
Use the 2^{nd} digit 2 from dividend 521
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)521}\\\end{array}
Since 52 is less than 100, use the next digit 1 from dividend 521 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)521}\\\end{array}
Use the 3^{rd} digit 1 from dividend 521
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)521}\\\phantom{100)}\underline{\phantom{}500\phantom{}}\\\phantom{100)9}21\\\end{array}
Find closest multiple of 100 to 521. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 521 to get reminder 21. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }21
Since 21 is less than 100, stop the division. The reminder is 21. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}