Evaluate
\frac{5773}{5078}\approx 1.136864907
Factor
\frac{23 \cdot 251}{2 \cdot 2539} = 1\frac{695}{5078} = 1.1368649074438755
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\begin{array}{l}\phantom{223432)}\phantom{1}\\223432\overline{)254012}\\\end{array}
Use the 1^{st} digit 2 from dividend 254012
\begin{array}{l}\phantom{223432)}0\phantom{2}\\223432\overline{)254012}\\\end{array}
Since 2 is less than 223432, use the next digit 5 from dividend 254012 and add 0 to the quotient
\begin{array}{l}\phantom{223432)}0\phantom{3}\\223432\overline{)254012}\\\end{array}
Use the 2^{nd} digit 5 from dividend 254012
\begin{array}{l}\phantom{223432)}00\phantom{4}\\223432\overline{)254012}\\\end{array}
Since 25 is less than 223432, use the next digit 4 from dividend 254012 and add 0 to the quotient
\begin{array}{l}\phantom{223432)}00\phantom{5}\\223432\overline{)254012}\\\end{array}
Use the 3^{rd} digit 4 from dividend 254012
\begin{array}{l}\phantom{223432)}000\phantom{6}\\223432\overline{)254012}\\\end{array}
Since 254 is less than 223432, use the next digit 0 from dividend 254012 and add 0 to the quotient
\begin{array}{l}\phantom{223432)}000\phantom{7}\\223432\overline{)254012}\\\end{array}
Use the 4^{th} digit 0 from dividend 254012
\begin{array}{l}\phantom{223432)}0000\phantom{8}\\223432\overline{)254012}\\\end{array}
Since 2540 is less than 223432, use the next digit 1 from dividend 254012 and add 0 to the quotient
\begin{array}{l}\phantom{223432)}0000\phantom{9}\\223432\overline{)254012}\\\end{array}
Use the 5^{th} digit 1 from dividend 254012
\begin{array}{l}\phantom{223432)}00000\phantom{10}\\223432\overline{)254012}\\\end{array}
Since 25401 is less than 223432, use the next digit 2 from dividend 254012 and add 0 to the quotient
\begin{array}{l}\phantom{223432)}00000\phantom{11}\\223432\overline{)254012}\\\end{array}
Use the 6^{th} digit 2 from dividend 254012
\begin{array}{l}\phantom{223432)}000001\phantom{12}\\223432\overline{)254012}\\\phantom{223432)}\underline{\phantom{}223432\phantom{}}\\\phantom{223432)9}30580\\\end{array}
Find closest multiple of 223432 to 254012. We see that 1 \times 223432 = 223432 is the nearest. Now subtract 223432 from 254012 to get reminder 30580. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }30580
Since 30580 is less than 223432, stop the division. The reminder is 30580. The topmost line 000001 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}