Evaluate
\frac{64}{27}\approx 2.37037037
Factor
\frac{2 ^ {6}}{3 ^ {3}} = 2\frac{10}{27} = 2.3703703703703702
Share
Copied to clipboard
\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)128}\\\end{array}
Use the 1^{st} digit 1 from dividend 128
\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)128}\\\end{array}
Since 1 is less than 54, use the next digit 2 from dividend 128 and add 0 to the quotient
\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)128}\\\end{array}
Use the 2^{nd} digit 2 from dividend 128
\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)128}\\\end{array}
Since 12 is less than 54, use the next digit 8 from dividend 128 and add 0 to the quotient
\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)128}\\\end{array}
Use the 3^{rd} digit 8 from dividend 128
\begin{array}{l}\phantom{54)}002\phantom{6}\\54\overline{)128}\\\phantom{54)}\underline{\phantom{}108\phantom{}}\\\phantom{54)9}20\\\end{array}
Find closest multiple of 54 to 128. We see that 2 \times 54 = 108 is the nearest. Now subtract 108 from 128 to get reminder 20. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }20
Since 20 is less than 54, stop the division. The reminder is 20. 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}