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{100)}\phantom{1}\\100\overline{)275}\\\end{array}
Use the 1^{st} digit 2 from dividend 275
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)275}\\\end{array}
Since 2 is less than 100, use the next digit 7 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)275}\\\end{array}
Use the 2^{nd} digit 7 from dividend 275
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)275}\\\end{array}
Since 27 is less than 100, use the next digit 5 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)275}\\\end{array}
Use the 3^{rd} digit 5 from dividend 275
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)275}\\\phantom{100)}\underline{\phantom{}200\phantom{}}\\\phantom{100)9}75\\\end{array}
Find closest multiple of 100 to 275. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 275 to get reminder 75. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }75
Since 75 is less than 100, stop the division. The reminder is 75. 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}