Evaluate
\frac{171}{100}=1.71
Factor
\frac{3 ^ {2} \cdot 19}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{71}{100} = 1.71
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\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)17100}\\\end{array}
Use the 1^{st} digit 1 from dividend 17100
\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)17100}\\\end{array}
Since 1 is less than 10000, use the next digit 7 from dividend 17100 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)17100}\\\end{array}
Use the 2^{nd} digit 7 from dividend 17100
\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)17100}\\\end{array}
Since 17 is less than 10000, use the next digit 1 from dividend 17100 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)17100}\\\end{array}
Use the 3^{rd} digit 1 from dividend 17100
\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)17100}\\\end{array}
Since 171 is less than 10000, use the next digit 0 from dividend 17100 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)17100}\\\end{array}
Use the 4^{th} digit 0 from dividend 17100
\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)17100}\\\end{array}
Since 1710 is less than 10000, use the next digit 0 from dividend 17100 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)17100}\\\end{array}
Use the 5^{th} digit 0 from dividend 17100
\begin{array}{l}\phantom{10000)}00001\phantom{10}\\10000\overline{)17100}\\\phantom{10000)}\underline{\phantom{}10000\phantom{}}\\\phantom{10000)9}7100\\\end{array}
Find closest multiple of 10000 to 17100. We see that 1 \times 10000 = 10000 is the nearest. Now subtract 10000 from 17100 to get reminder 7100. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }7100
Since 7100 is less than 10000, stop the division. The reminder is 7100. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}