Evaluate
\frac{11}{4}=2.75
Factor
\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75
Share
Copied to clipboard
\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)165}\\\end{array}
Use the 1^{st} digit 1 from dividend 165
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)165}\\\end{array}
Since 1 is less than 60, use the next digit 6 from dividend 165 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)165}\\\end{array}
Use the 2^{nd} digit 6 from dividend 165
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)165}\\\end{array}
Since 16 is less than 60, use the next digit 5 from dividend 165 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)165}\\\end{array}
Use the 3^{rd} digit 5 from dividend 165
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)165}\\\phantom{60)}\underline{\phantom{}120\phantom{}}\\\phantom{60)9}45\\\end{array}
Find closest multiple of 60 to 165. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 165 to get reminder 45. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }45
Since 45 is less than 60, stop the division. The reminder is 45. 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}