Evaluate
\frac{250}{143}\approx 1.748251748
Factor
\frac{2 \cdot 5 ^ {3}}{11 \cdot 13} = 1\frac{107}{143} = 1.7482517482517483
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\begin{array}{l}\phantom{5720)}\phantom{1}\\5720\overline{)10000}\\\end{array}
Use the 1^{st} digit 1 from dividend 10000
\begin{array}{l}\phantom{5720)}0\phantom{2}\\5720\overline{)10000}\\\end{array}
Since 1 is less than 5720, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{5720)}0\phantom{3}\\5720\overline{)10000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10000
\begin{array}{l}\phantom{5720)}00\phantom{4}\\5720\overline{)10000}\\\end{array}
Since 10 is less than 5720, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{5720)}00\phantom{5}\\5720\overline{)10000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 10000
\begin{array}{l}\phantom{5720)}000\phantom{6}\\5720\overline{)10000}\\\end{array}
Since 100 is less than 5720, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{5720)}000\phantom{7}\\5720\overline{)10000}\\\end{array}
Use the 4^{th} digit 0 from dividend 10000
\begin{array}{l}\phantom{5720)}0000\phantom{8}\\5720\overline{)10000}\\\end{array}
Since 1000 is less than 5720, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{5720)}0000\phantom{9}\\5720\overline{)10000}\\\end{array}
Use the 5^{th} digit 0 from dividend 10000
\begin{array}{l}\phantom{5720)}00001\phantom{10}\\5720\overline{)10000}\\\phantom{5720)}\underline{\phantom{9}5720\phantom{}}\\\phantom{5720)9}4280\\\end{array}
Find closest multiple of 5720 to 10000. We see that 1 \times 5720 = 5720 is the nearest. Now subtract 5720 from 10000 to get reminder 4280. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }4280
Since 4280 is less than 5720, stop the division. The reminder is 4280. 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}