Evaluate
\frac{25}{19}\approx 1.315789474
Factor
\frac{5 ^ {2}}{19} = 1\frac{6}{19} = 1.3157894736842106
Share
Copied to clipboard
\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)50}\\\end{array}
Use the 1^{st} digit 5 from dividend 50
\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)50}\\\end{array}
Since 5 is less than 38, use the next digit 0 from dividend 50 and add 0 to the quotient
\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)50}\\\end{array}
Use the 2^{nd} digit 0 from dividend 50
\begin{array}{l}\phantom{38)}01\phantom{4}\\38\overline{)50}\\\phantom{38)}\underline{\phantom{}38\phantom{}}\\\phantom{38)}12\\\end{array}
Find closest multiple of 38 to 50. We see that 1 \times 38 = 38 is the nearest. Now subtract 38 from 50 to get reminder 12. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }12
Since 12 is less than 38, stop the division. The reminder is 12. 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}