533 \%
Evaluate
\frac{533}{100}=5.33
Factor
\frac{13 \cdot 41}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{33}{100} = 5.33
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)533}\\\end{array}
Use the 1^{st} digit 5 from dividend 533
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)533}\\\end{array}
Since 5 is less than 100, use the next digit 3 from dividend 533 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)533}\\\end{array}
Use the 2^{nd} digit 3 from dividend 533
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)533}\\\end{array}
Since 53 is less than 100, use the next digit 3 from dividend 533 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)533}\\\end{array}
Use the 3^{rd} digit 3 from dividend 533
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)533}\\\phantom{100)}\underline{\phantom{}500\phantom{}}\\\phantom{100)9}33\\\end{array}
Find closest multiple of 100 to 533. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 533 to get reminder 33. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }33
Since 33 is less than 100, stop the division. The reminder is 33. 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}