Evaluate
\frac{380}{257}\approx 1.478599222
Factor
\frac{2 ^ {2} \cdot 5 \cdot 19}{257} = 1\frac{123}{257} = 1.4785992217898833
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\begin{array}{l}\phantom{514)}\phantom{1}\\514\overline{)760}\\\end{array}
Use the 1^{st} digit 7 from dividend 760
\begin{array}{l}\phantom{514)}0\phantom{2}\\514\overline{)760}\\\end{array}
Since 7 is less than 514, use the next digit 6 from dividend 760 and add 0 to the quotient
\begin{array}{l}\phantom{514)}0\phantom{3}\\514\overline{)760}\\\end{array}
Use the 2^{nd} digit 6 from dividend 760
\begin{array}{l}\phantom{514)}00\phantom{4}\\514\overline{)760}\\\end{array}
Since 76 is less than 514, use the next digit 0 from dividend 760 and add 0 to the quotient
\begin{array}{l}\phantom{514)}00\phantom{5}\\514\overline{)760}\\\end{array}
Use the 3^{rd} digit 0 from dividend 760
\begin{array}{l}\phantom{514)}001\phantom{6}\\514\overline{)760}\\\phantom{514)}\underline{\phantom{}514\phantom{}}\\\phantom{514)}246\\\end{array}
Find closest multiple of 514 to 760. We see that 1 \times 514 = 514 is the nearest. Now subtract 514 from 760 to get reminder 246. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }246
Since 246 is less than 514, stop the division. The reminder is 246. The topmost line 001 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}