Evaluate
\frac{23}{5}=4.6
Factor
\frac{23}{5} = 4\frac{3}{5} = 4.6
Share
Copied to clipboard
\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)230}\\\end{array}
Use the 1^{st} digit 2 from dividend 230
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)230}\\\end{array}
Since 2 is less than 50, use the next digit 3 from dividend 230 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)230}\\\end{array}
Use the 2^{nd} digit 3 from dividend 230
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)230}\\\end{array}
Since 23 is less than 50, use the next digit 0 from dividend 230 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)230}\\\end{array}
Use the 3^{rd} digit 0 from dividend 230
\begin{array}{l}\phantom{50)}004\phantom{6}\\50\overline{)230}\\\phantom{50)}\underline{\phantom{}200\phantom{}}\\\phantom{50)9}30\\\end{array}
Find closest multiple of 50 to 230. We see that 4 \times 50 = 200 is the nearest. Now subtract 200 from 230 to get reminder 30. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }30
Since 30 is less than 50, stop the division. The reminder is 30. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}