Evaluate
\frac{45}{11}\approx 4.090909091
Factor
\frac{3 ^ {2} \cdot 5}{11} = 4\frac{1}{11} = 4.090909090909091
Share
Copied to clipboard
\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)900}\\\end{array}
Use the 1^{st} digit 9 from dividend 900
\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)900}\\\end{array}
Since 9 is less than 220, use the next digit 0 from dividend 900 and add 0 to the quotient
\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)900}\\\end{array}
Use the 2^{nd} digit 0 from dividend 900
\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)900}\\\end{array}
Since 90 is less than 220, use the next digit 0 from dividend 900 and add 0 to the quotient
\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)900}\\\end{array}
Use the 3^{rd} digit 0 from dividend 900
\begin{array}{l}\phantom{220)}004\phantom{6}\\220\overline{)900}\\\phantom{220)}\underline{\phantom{}880\phantom{}}\\\phantom{220)9}20\\\end{array}
Find closest multiple of 220 to 900. We see that 4 \times 220 = 880 is the nearest. Now subtract 880 from 900 to get reminder 20. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }20
Since 20 is less than 220, stop the division. The reminder is 20. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}