Evaluate
\frac{13}{5}=2.6
Factor
\frac{13}{5} = 2\frac{3}{5} = 2.6
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\begin{array}{l}\phantom{16000)}\phantom{1}\\16000\overline{)41600}\\\end{array}
Use the 1^{st} digit 4 from dividend 41600
\begin{array}{l}\phantom{16000)}0\phantom{2}\\16000\overline{)41600}\\\end{array}
Since 4 is less than 16000, use the next digit 1 from dividend 41600 and add 0 to the quotient
\begin{array}{l}\phantom{16000)}0\phantom{3}\\16000\overline{)41600}\\\end{array}
Use the 2^{nd} digit 1 from dividend 41600
\begin{array}{l}\phantom{16000)}00\phantom{4}\\16000\overline{)41600}\\\end{array}
Since 41 is less than 16000, use the next digit 6 from dividend 41600 and add 0 to the quotient
\begin{array}{l}\phantom{16000)}00\phantom{5}\\16000\overline{)41600}\\\end{array}
Use the 3^{rd} digit 6 from dividend 41600
\begin{array}{l}\phantom{16000)}000\phantom{6}\\16000\overline{)41600}\\\end{array}
Since 416 is less than 16000, use the next digit 0 from dividend 41600 and add 0 to the quotient
\begin{array}{l}\phantom{16000)}000\phantom{7}\\16000\overline{)41600}\\\end{array}
Use the 4^{th} digit 0 from dividend 41600
\begin{array}{l}\phantom{16000)}0000\phantom{8}\\16000\overline{)41600}\\\end{array}
Since 4160 is less than 16000, use the next digit 0 from dividend 41600 and add 0 to the quotient
\begin{array}{l}\phantom{16000)}0000\phantom{9}\\16000\overline{)41600}\\\end{array}
Use the 5^{th} digit 0 from dividend 41600
\begin{array}{l}\phantom{16000)}00002\phantom{10}\\16000\overline{)41600}\\\phantom{16000)}\underline{\phantom{}32000\phantom{}}\\\phantom{16000)9}9600\\\end{array}
Find closest multiple of 16000 to 41600. We see that 2 \times 16000 = 32000 is the nearest. Now subtract 32000 from 41600 to get reminder 9600. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }9600
Since 9600 is less than 16000, stop the division. The reminder is 9600. The topmost line 00002 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}