Evaluate
\frac{28228}{18251}\approx 1.546654978
Factor
\frac{2 ^ {2} \cdot 7057}{18251} = 1\frac{9977}{18251} = 1.5466549778094352
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\begin{array}{l}\phantom{18251)}\phantom{1}\\18251\overline{)28228}\\\end{array}
Use the 1^{st} digit 2 from dividend 28228
\begin{array}{l}\phantom{18251)}0\phantom{2}\\18251\overline{)28228}\\\end{array}
Since 2 is less than 18251, use the next digit 8 from dividend 28228 and add 0 to the quotient
\begin{array}{l}\phantom{18251)}0\phantom{3}\\18251\overline{)28228}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28228
\begin{array}{l}\phantom{18251)}00\phantom{4}\\18251\overline{)28228}\\\end{array}
Since 28 is less than 18251, use the next digit 2 from dividend 28228 and add 0 to the quotient
\begin{array}{l}\phantom{18251)}00\phantom{5}\\18251\overline{)28228}\\\end{array}
Use the 3^{rd} digit 2 from dividend 28228
\begin{array}{l}\phantom{18251)}000\phantom{6}\\18251\overline{)28228}\\\end{array}
Since 282 is less than 18251, use the next digit 2 from dividend 28228 and add 0 to the quotient
\begin{array}{l}\phantom{18251)}000\phantom{7}\\18251\overline{)28228}\\\end{array}
Use the 4^{th} digit 2 from dividend 28228
\begin{array}{l}\phantom{18251)}0000\phantom{8}\\18251\overline{)28228}\\\end{array}
Since 2822 is less than 18251, use the next digit 8 from dividend 28228 and add 0 to the quotient
\begin{array}{l}\phantom{18251)}0000\phantom{9}\\18251\overline{)28228}\\\end{array}
Use the 5^{th} digit 8 from dividend 28228
\begin{array}{l}\phantom{18251)}00001\phantom{10}\\18251\overline{)28228}\\\phantom{18251)}\underline{\phantom{}18251\phantom{}}\\\phantom{18251)9}9977\\\end{array}
Find closest multiple of 18251 to 28228. We see that 1 \times 18251 = 18251 is the nearest. Now subtract 18251 from 28228 to get reminder 9977. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }9977
Since 9977 is less than 18251, stop the division. The reminder is 9977. The topmost line 00001 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}