622 \%
Evaluate
\frac{311}{50}=6.22
Factor
\frac{311}{2 \cdot 5 ^ {2}} = 6\frac{11}{50} = 6.22
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)622}\\\end{array}
Use the 1^{st} digit 6 from dividend 622
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)622}\\\end{array}
Since 6 is less than 100, use the next digit 2 from dividend 622 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)622}\\\end{array}
Use the 2^{nd} digit 2 from dividend 622
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)622}\\\end{array}
Since 62 is less than 100, use the next digit 2 from dividend 622 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)622}\\\end{array}
Use the 3^{rd} digit 2 from dividend 622
\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)622}\\\phantom{100)}\underline{\phantom{}600\phantom{}}\\\phantom{100)9}22\\\end{array}
Find closest multiple of 100 to 622. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 622 to get reminder 22. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }22
Since 22 is less than 100, stop the division. The reminder is 22. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}