Evaluate
\frac{12}{5}=2.4
Factor
\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4
Share
Copied to clipboard
\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)156}\\\end{array}
Use the 1^{st} digit 1 from dividend 156
\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)156}\\\end{array}
Since 1 is less than 65, use the next digit 5 from dividend 156 and add 0 to the quotient
\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)156}\\\end{array}
Use the 2^{nd} digit 5 from dividend 156
\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)156}\\\end{array}
Since 15 is less than 65, use the next digit 6 from dividend 156 and add 0 to the quotient
\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)156}\\\end{array}
Use the 3^{rd} digit 6 from dividend 156
\begin{array}{l}\phantom{65)}002\phantom{6}\\65\overline{)156}\\\phantom{65)}\underline{\phantom{}130\phantom{}}\\\phantom{65)9}26\\\end{array}
Find closest multiple of 65 to 156. We see that 2 \times 65 = 130 is the nearest. Now subtract 130 from 156 to get reminder 26. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }26
Since 26 is less than 65, stop the division. The reminder is 26. 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}