Evaluate
\frac{13}{5}=2.6
Factor
\frac{13}{5} = 2\frac{3}{5} = 2.6
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\begin{array}{l}\phantom{340)}\phantom{1}\\340\overline{)884}\\\end{array}
Use the 1^{st} digit 8 from dividend 884
\begin{array}{l}\phantom{340)}0\phantom{2}\\340\overline{)884}\\\end{array}
Since 8 is less than 340, use the next digit 8 from dividend 884 and add 0 to the quotient
\begin{array}{l}\phantom{340)}0\phantom{3}\\340\overline{)884}\\\end{array}
Use the 2^{nd} digit 8 from dividend 884
\begin{array}{l}\phantom{340)}00\phantom{4}\\340\overline{)884}\\\end{array}
Since 88 is less than 340, use the next digit 4 from dividend 884 and add 0 to the quotient
\begin{array}{l}\phantom{340)}00\phantom{5}\\340\overline{)884}\\\end{array}
Use the 3^{rd} digit 4 from dividend 884
\begin{array}{l}\phantom{340)}002\phantom{6}\\340\overline{)884}\\\phantom{340)}\underline{\phantom{}680\phantom{}}\\\phantom{340)}204\\\end{array}
Find closest multiple of 340 to 884. We see that 2 \times 340 = 680 is the nearest. Now subtract 680 from 884 to get reminder 204. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }204
Since 204 is less than 340, stop the division. The reminder is 204. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}