Evaluate
\frac{255}{173}\approx 1.473988439
Factor
\frac{3 \cdot 5 \cdot 17}{173} = 1\frac{82}{173} = 1.4739884393063585
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\begin{array}{l}\phantom{17300)}\phantom{1}\\17300\overline{)25500}\\\end{array}
Use the 1^{st} digit 2 from dividend 25500
\begin{array}{l}\phantom{17300)}0\phantom{2}\\17300\overline{)25500}\\\end{array}
Since 2 is less than 17300, use the next digit 5 from dividend 25500 and add 0 to the quotient
\begin{array}{l}\phantom{17300)}0\phantom{3}\\17300\overline{)25500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 25500
\begin{array}{l}\phantom{17300)}00\phantom{4}\\17300\overline{)25500}\\\end{array}
Since 25 is less than 17300, use the next digit 5 from dividend 25500 and add 0 to the quotient
\begin{array}{l}\phantom{17300)}00\phantom{5}\\17300\overline{)25500}\\\end{array}
Use the 3^{rd} digit 5 from dividend 25500
\begin{array}{l}\phantom{17300)}000\phantom{6}\\17300\overline{)25500}\\\end{array}
Since 255 is less than 17300, use the next digit 0 from dividend 25500 and add 0 to the quotient
\begin{array}{l}\phantom{17300)}000\phantom{7}\\17300\overline{)25500}\\\end{array}
Use the 4^{th} digit 0 from dividend 25500
\begin{array}{l}\phantom{17300)}0000\phantom{8}\\17300\overline{)25500}\\\end{array}
Since 2550 is less than 17300, use the next digit 0 from dividend 25500 and add 0 to the quotient
\begin{array}{l}\phantom{17300)}0000\phantom{9}\\17300\overline{)25500}\\\end{array}
Use the 5^{th} digit 0 from dividend 25500
\begin{array}{l}\phantom{17300)}00001\phantom{10}\\17300\overline{)25500}\\\phantom{17300)}\underline{\phantom{}17300\phantom{}}\\\phantom{17300)9}8200\\\end{array}
Find closest multiple of 17300 to 25500. We see that 1 \times 17300 = 17300 is the nearest. Now subtract 17300 from 25500 to get reminder 8200. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }8200
Since 8200 is less than 17300, stop the division. The reminder is 8200. 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}