557 \%
Evaluate
\frac{557}{100}=5.57
Factor
\frac{557}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{57}{100} = 5.57
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)557}\\\end{array}
Use the 1^{st} digit 5 from dividend 557
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)557}\\\end{array}
Since 5 is less than 100, use the next digit 5 from dividend 557 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)557}\\\end{array}
Use the 2^{nd} digit 5 from dividend 557
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)557}\\\end{array}
Since 55 is less than 100, use the next digit 7 from dividend 557 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)557}\\\end{array}
Use the 3^{rd} digit 7 from dividend 557
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)557}\\\phantom{100)}\underline{\phantom{}500\phantom{}}\\\phantom{100)9}57\\\end{array}
Find closest multiple of 100 to 557. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 557 to get reminder 57. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }57
Since 57 is less than 100, stop the division. The reminder is 57. 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}