Evaluate
\frac{5}{3}\approx 1.666666667
Factor
\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667
Share
Copied to clipboard
\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)45}\\\end{array}
Use the 1^{st} digit 4 from dividend 45
\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)45}\\\end{array}
Since 4 is less than 27, use the next digit 5 from dividend 45 and add 0 to the quotient
\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)45}\\\end{array}
Use the 2^{nd} digit 5 from dividend 45
\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)45}\\\phantom{27)}\underline{\phantom{}27\phantom{}}\\\phantom{27)}18\\\end{array}
Find closest multiple of 27 to 45. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 45 to get reminder 18. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }18
Since 18 is less than 27, stop the division. The reminder is 18. 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}