Evaluate
\frac{7222}{1125}\approx 6.419555556
Factor
\frac{2 \cdot 23 \cdot 157}{3 ^ {2} \cdot 5 ^ {3}} = 6\frac{472}{1125} = 6.419555555555555
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\begin{array}{l}\phantom{4500)}\phantom{1}\\4500\overline{)28888}\\\end{array}
Use the 1^{st} digit 2 from dividend 28888
\begin{array}{l}\phantom{4500)}0\phantom{2}\\4500\overline{)28888}\\\end{array}
Since 2 is less than 4500, use the next digit 8 from dividend 28888 and add 0 to the quotient
\begin{array}{l}\phantom{4500)}0\phantom{3}\\4500\overline{)28888}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28888
\begin{array}{l}\phantom{4500)}00\phantom{4}\\4500\overline{)28888}\\\end{array}
Since 28 is less than 4500, use the next digit 8 from dividend 28888 and add 0 to the quotient
\begin{array}{l}\phantom{4500)}00\phantom{5}\\4500\overline{)28888}\\\end{array}
Use the 3^{rd} digit 8 from dividend 28888
\begin{array}{l}\phantom{4500)}000\phantom{6}\\4500\overline{)28888}\\\end{array}
Since 288 is less than 4500, use the next digit 8 from dividend 28888 and add 0 to the quotient
\begin{array}{l}\phantom{4500)}000\phantom{7}\\4500\overline{)28888}\\\end{array}
Use the 4^{th} digit 8 from dividend 28888
\begin{array}{l}\phantom{4500)}0000\phantom{8}\\4500\overline{)28888}\\\end{array}
Since 2888 is less than 4500, use the next digit 8 from dividend 28888 and add 0 to the quotient
\begin{array}{l}\phantom{4500)}0000\phantom{9}\\4500\overline{)28888}\\\end{array}
Use the 5^{th} digit 8 from dividend 28888
\begin{array}{l}\phantom{4500)}00006\phantom{10}\\4500\overline{)28888}\\\phantom{4500)}\underline{\phantom{}27000\phantom{}}\\\phantom{4500)9}1888\\\end{array}
Find closest multiple of 4500 to 28888. We see that 6 \times 4500 = 27000 is the nearest. Now subtract 27000 from 28888 to get reminder 1888. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }1888
Since 1888 is less than 4500, stop the division. The reminder is 1888. The topmost line 00006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}