Evaluate
\frac{20}{13}\approx 1.538461538
Factor
\frac{2 ^ {2} \cdot 5}{13} = 1\frac{7}{13} = 1.5384615384615385
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\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)40}\\\end{array}
Use the 1^{st} digit 4 from dividend 40
\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)40}\\\end{array}
Since 4 is less than 26, use the next digit 0 from dividend 40 and add 0 to the quotient
\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)40}\\\end{array}
Use the 2^{nd} digit 0 from dividend 40
\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)40}\\\phantom{26)}\underline{\phantom{}26\phantom{}}\\\phantom{26)}14\\\end{array}
Find closest multiple of 26 to 40. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 40 to get reminder 14. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }14
Since 14 is less than 26, stop the division. The reminder is 14. The topmost line 01 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}