Evaluate
\frac{50000}{239}\approx 209.205020921
Factor
\frac{2 ^ {4} \cdot 5 ^ {5}}{239} = 209\frac{49}{239} = 209.20502092050208
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\begin{array}{l}\phantom{717)}\phantom{1}\\717\overline{)150000}\\\end{array}
Use the 1^{st} digit 1 from dividend 150000
\begin{array}{l}\phantom{717)}0\phantom{2}\\717\overline{)150000}\\\end{array}
Since 1 is less than 717, use the next digit 5 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{717)}0\phantom{3}\\717\overline{)150000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 150000
\begin{array}{l}\phantom{717)}00\phantom{4}\\717\overline{)150000}\\\end{array}
Since 15 is less than 717, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{717)}00\phantom{5}\\717\overline{)150000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 150000
\begin{array}{l}\phantom{717)}000\phantom{6}\\717\overline{)150000}\\\end{array}
Since 150 is less than 717, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{717)}000\phantom{7}\\717\overline{)150000}\\\end{array}
Use the 4^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{717)}0002\phantom{8}\\717\overline{)150000}\\\phantom{717)}\underline{\phantom{}1434\phantom{99}}\\\phantom{717)99}66\\\end{array}
Find closest multiple of 717 to 1500. We see that 2 \times 717 = 1434 is the nearest. Now subtract 1434 from 1500 to get reminder 66. Add 2 to quotient.
\begin{array}{l}\phantom{717)}0002\phantom{9}\\717\overline{)150000}\\\phantom{717)}\underline{\phantom{}1434\phantom{99}}\\\phantom{717)99}660\\\end{array}
Use the 5^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{717)}00020\phantom{10}\\717\overline{)150000}\\\phantom{717)}\underline{\phantom{}1434\phantom{99}}\\\phantom{717)99}660\\\end{array}
Since 660 is less than 717, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{717)}00020\phantom{11}\\717\overline{)150000}\\\phantom{717)}\underline{\phantom{}1434\phantom{99}}\\\phantom{717)99}6600\\\end{array}
Use the 6^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{717)}000209\phantom{12}\\717\overline{)150000}\\\phantom{717)}\underline{\phantom{}1434\phantom{99}}\\\phantom{717)99}6600\\\phantom{717)}\underline{\phantom{99}6453\phantom{}}\\\phantom{717)999}147\\\end{array}
Find closest multiple of 717 to 6600. We see that 9 \times 717 = 6453 is the nearest. Now subtract 6453 from 6600 to get reminder 147. Add 9 to quotient.
\text{Quotient: }209 \text{Reminder: }147
Since 147 is less than 717, stop the division. The reminder is 147. The topmost line 000209 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 209.
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}