Evaluate
\frac{8827}{8557}\approx 1.031553114
Factor
\frac{7 \cdot 13 \cdot 97}{43 \cdot 199} = 1\frac{270}{8557} = 1.0315531144092556
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\begin{array}{l}\phantom{8557)}\phantom{1}\\8557\overline{)8827}\\\end{array}
Use the 1^{st} digit 8 from dividend 8827
\begin{array}{l}\phantom{8557)}0\phantom{2}\\8557\overline{)8827}\\\end{array}
Since 8 is less than 8557, use the next digit 8 from dividend 8827 and add 0 to the quotient
\begin{array}{l}\phantom{8557)}0\phantom{3}\\8557\overline{)8827}\\\end{array}
Use the 2^{nd} digit 8 from dividend 8827
\begin{array}{l}\phantom{8557)}00\phantom{4}\\8557\overline{)8827}\\\end{array}
Since 88 is less than 8557, use the next digit 2 from dividend 8827 and add 0 to the quotient
\begin{array}{l}\phantom{8557)}00\phantom{5}\\8557\overline{)8827}\\\end{array}
Use the 3^{rd} digit 2 from dividend 8827
\begin{array}{l}\phantom{8557)}000\phantom{6}\\8557\overline{)8827}\\\end{array}
Since 882 is less than 8557, use the next digit 7 from dividend 8827 and add 0 to the quotient
\begin{array}{l}\phantom{8557)}000\phantom{7}\\8557\overline{)8827}\\\end{array}
Use the 4^{th} digit 7 from dividend 8827
\begin{array}{l}\phantom{8557)}0001\phantom{8}\\8557\overline{)8827}\\\phantom{8557)}\underline{\phantom{}8557\phantom{}}\\\phantom{8557)9}270\\\end{array}
Find closest multiple of 8557 to 8827. We see that 1 \times 8557 = 8557 is the nearest. Now subtract 8557 from 8827 to get reminder 270. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }270
Since 270 is less than 8557, stop the division. The reminder is 270. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}