Evaluate
\frac{479}{50}=9.58
Factor
\frac{479}{2 \cdot 5 ^ {2}} = 9\frac{29}{50} = 9.58
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)958}\\\end{array}
Use the 1^{st} digit 9 from dividend 958
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)958}\\\end{array}
Since 9 is less than 100, use the next digit 5 from dividend 958 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)958}\\\end{array}
Use the 2^{nd} digit 5 from dividend 958
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)958}\\\end{array}
Since 95 is less than 100, use the next digit 8 from dividend 958 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)958}\\\end{array}
Use the 3^{rd} digit 8 from dividend 958
\begin{array}{l}\phantom{100)}009\phantom{6}\\100\overline{)958}\\\phantom{100)}\underline{\phantom{}900\phantom{}}\\\phantom{100)9}58\\\end{array}
Find closest multiple of 100 to 958. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 958 to get reminder 58. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }58
Since 58 is less than 100, stop the division. The reminder is 58. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}