Evaluate
\frac{23500}{1287}\approx 18.25951826
Factor
\frac{2 ^ {2} \cdot 5 ^ {3} \cdot 47}{3 ^ {2} \cdot 11 \cdot 13} = 18\frac{334}{1287} = 18.25951825951826
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\begin{array}{l}\phantom{12870)}\phantom{1}\\12870\overline{)235000}\\\end{array}
Use the 1^{st} digit 2 from dividend 235000
\begin{array}{l}\phantom{12870)}0\phantom{2}\\12870\overline{)235000}\\\end{array}
Since 2 is less than 12870, use the next digit 3 from dividend 235000 and add 0 to the quotient
\begin{array}{l}\phantom{12870)}0\phantom{3}\\12870\overline{)235000}\\\end{array}
Use the 2^{nd} digit 3 from dividend 235000
\begin{array}{l}\phantom{12870)}00\phantom{4}\\12870\overline{)235000}\\\end{array}
Since 23 is less than 12870, use the next digit 5 from dividend 235000 and add 0 to the quotient
\begin{array}{l}\phantom{12870)}00\phantom{5}\\12870\overline{)235000}\\\end{array}
Use the 3^{rd} digit 5 from dividend 235000
\begin{array}{l}\phantom{12870)}000\phantom{6}\\12870\overline{)235000}\\\end{array}
Since 235 is less than 12870, use the next digit 0 from dividend 235000 and add 0 to the quotient
\begin{array}{l}\phantom{12870)}000\phantom{7}\\12870\overline{)235000}\\\end{array}
Use the 4^{th} digit 0 from dividend 235000
\begin{array}{l}\phantom{12870)}0000\phantom{8}\\12870\overline{)235000}\\\end{array}
Since 2350 is less than 12870, use the next digit 0 from dividend 235000 and add 0 to the quotient
\begin{array}{l}\phantom{12870)}0000\phantom{9}\\12870\overline{)235000}\\\end{array}
Use the 5^{th} digit 0 from dividend 235000
\begin{array}{l}\phantom{12870)}00001\phantom{10}\\12870\overline{)235000}\\\phantom{12870)}\underline{\phantom{}12870\phantom{9}}\\\phantom{12870)}10630\\\end{array}
Find closest multiple of 12870 to 23500. We see that 1 \times 12870 = 12870 is the nearest. Now subtract 12870 from 23500 to get reminder 10630. Add 1 to quotient.
\begin{array}{l}\phantom{12870)}00001\phantom{11}\\12870\overline{)235000}\\\phantom{12870)}\underline{\phantom{}12870\phantom{9}}\\\phantom{12870)}106300\\\end{array}
Use the 6^{th} digit 0 from dividend 235000
\begin{array}{l}\phantom{12870)}000018\phantom{12}\\12870\overline{)235000}\\\phantom{12870)}\underline{\phantom{}12870\phantom{9}}\\\phantom{12870)}106300\\\phantom{12870)}\underline{\phantom{}102960\phantom{}}\\\phantom{12870)99}3340\\\end{array}
Find closest multiple of 12870 to 106300. We see that 8 \times 12870 = 102960 is the nearest. Now subtract 102960 from 106300 to get reminder 3340. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }3340
Since 3340 is less than 12870, stop the division. The reminder is 3340. The topmost line 000018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}