Evaluate
\frac{11}{4}=2.75
Factor
\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75
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\begin{array}{l}\phantom{20000)}\phantom{1}\\20000\overline{)55000}\\\end{array}
Use the 1^{st} digit 5 from dividend 55000
\begin{array}{l}\phantom{20000)}0\phantom{2}\\20000\overline{)55000}\\\end{array}
Since 5 is less than 20000, use the next digit 5 from dividend 55000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}0\phantom{3}\\20000\overline{)55000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 55000
\begin{array}{l}\phantom{20000)}00\phantom{4}\\20000\overline{)55000}\\\end{array}
Since 55 is less than 20000, use the next digit 0 from dividend 55000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}00\phantom{5}\\20000\overline{)55000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 55000
\begin{array}{l}\phantom{20000)}000\phantom{6}\\20000\overline{)55000}\\\end{array}
Since 550 is less than 20000, use the next digit 0 from dividend 55000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}000\phantom{7}\\20000\overline{)55000}\\\end{array}
Use the 4^{th} digit 0 from dividend 55000
\begin{array}{l}\phantom{20000)}0000\phantom{8}\\20000\overline{)55000}\\\end{array}
Since 5500 is less than 20000, use the next digit 0 from dividend 55000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}0000\phantom{9}\\20000\overline{)55000}\\\end{array}
Use the 5^{th} digit 0 from dividend 55000
\begin{array}{l}\phantom{20000)}00002\phantom{10}\\20000\overline{)55000}\\\phantom{20000)}\underline{\phantom{}40000\phantom{}}\\\phantom{20000)}15000\\\end{array}
Find closest multiple of 20000 to 55000. We see that 2 \times 20000 = 40000 is the nearest. Now subtract 40000 from 55000 to get reminder 15000. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }15000
Since 15000 is less than 20000, stop the division. The reminder is 15000. The topmost line 00002 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}