Evaluate
\frac{539}{179}\approx 3.011173184
Factor
\frac{7 ^ {2} \cdot 11}{179} = 3\frac{2}{179} = 3.011173184357542
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\begin{array}{l}\phantom{895)}\phantom{1}\\895\overline{)2695}\\\end{array}
Use the 1^{st} digit 2 from dividend 2695
\begin{array}{l}\phantom{895)}0\phantom{2}\\895\overline{)2695}\\\end{array}
Since 2 is less than 895, use the next digit 6 from dividend 2695 and add 0 to the quotient
\begin{array}{l}\phantom{895)}0\phantom{3}\\895\overline{)2695}\\\end{array}
Use the 2^{nd} digit 6 from dividend 2695
\begin{array}{l}\phantom{895)}00\phantom{4}\\895\overline{)2695}\\\end{array}
Since 26 is less than 895, use the next digit 9 from dividend 2695 and add 0 to the quotient
\begin{array}{l}\phantom{895)}00\phantom{5}\\895\overline{)2695}\\\end{array}
Use the 3^{rd} digit 9 from dividend 2695
\begin{array}{l}\phantom{895)}000\phantom{6}\\895\overline{)2695}\\\end{array}
Since 269 is less than 895, use the next digit 5 from dividend 2695 and add 0 to the quotient
\begin{array}{l}\phantom{895)}000\phantom{7}\\895\overline{)2695}\\\end{array}
Use the 4^{th} digit 5 from dividend 2695
\begin{array}{l}\phantom{895)}0003\phantom{8}\\895\overline{)2695}\\\phantom{895)}\underline{\phantom{}2685\phantom{}}\\\phantom{895)99}10\\\end{array}
Find closest multiple of 895 to 2695. We see that 3 \times 895 = 2685 is the nearest. Now subtract 2685 from 2695 to get reminder 10. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }10
Since 10 is less than 895, stop the division. The reminder is 10. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}