Evaluate
\frac{163}{25}=6.52
Factor
\frac{163}{5 ^ {2}} = 6\frac{13}{25} = 6.52
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\begin{array}{l}\phantom{4300)}\phantom{1}\\4300\overline{)28036}\\\end{array}
Use the 1^{st} digit 2 from dividend 28036
\begin{array}{l}\phantom{4300)}0\phantom{2}\\4300\overline{)28036}\\\end{array}
Since 2 is less than 4300, use the next digit 8 from dividend 28036 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}0\phantom{3}\\4300\overline{)28036}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28036
\begin{array}{l}\phantom{4300)}00\phantom{4}\\4300\overline{)28036}\\\end{array}
Since 28 is less than 4300, use the next digit 0 from dividend 28036 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}00\phantom{5}\\4300\overline{)28036}\\\end{array}
Use the 3^{rd} digit 0 from dividend 28036
\begin{array}{l}\phantom{4300)}000\phantom{6}\\4300\overline{)28036}\\\end{array}
Since 280 is less than 4300, use the next digit 3 from dividend 28036 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}000\phantom{7}\\4300\overline{)28036}\\\end{array}
Use the 4^{th} digit 3 from dividend 28036
\begin{array}{l}\phantom{4300)}0000\phantom{8}\\4300\overline{)28036}\\\end{array}
Since 2803 is less than 4300, use the next digit 6 from dividend 28036 and add 0 to the quotient
\begin{array}{l}\phantom{4300)}0000\phantom{9}\\4300\overline{)28036}\\\end{array}
Use the 5^{th} digit 6 from dividend 28036
\begin{array}{l}\phantom{4300)}00006\phantom{10}\\4300\overline{)28036}\\\phantom{4300)}\underline{\phantom{}25800\phantom{}}\\\phantom{4300)9}2236\\\end{array}
Find closest multiple of 4300 to 28036. We see that 6 \times 4300 = 25800 is the nearest. Now subtract 25800 from 28036 to get reminder 2236. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }2236
Since 2236 is less than 4300, stop the division. The reminder is 2236. The topmost line 00006 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}