Evaluate
\frac{4}{3}\approx 1.333333333
Factor
\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333
Share
Copied to clipboard
\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)60}\\\end{array}
Use the 1^{st} digit 6 from dividend 60
\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)60}\\\end{array}
Since 6 is less than 45, use the next digit 0 from dividend 60 and add 0 to the quotient
\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)60}\\\end{array}
Use the 2^{nd} digit 0 from dividend 60
\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)60}\\\phantom{45)}\underline{\phantom{}45\phantom{}}\\\phantom{45)}15\\\end{array}
Find closest multiple of 45 to 60. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 60 to get reminder 15. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }15
Since 15 is less than 45, stop the division. The reminder is 15. 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}