Evaluate
\frac{14323}{500}=28.646
Factor
\frac{14323}{2 ^ {2} \cdot 5 ^ {3}} = 28\frac{323}{500} = 28.646
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\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)14323}\\\end{array}
Use the 1^{st} digit 1 from dividend 14323
\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)14323}\\\end{array}
Since 1 is less than 500, use the next digit 4 from dividend 14323 and add 0 to the quotient
\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)14323}\\\end{array}
Use the 2^{nd} digit 4 from dividend 14323
\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)14323}\\\end{array}
Since 14 is less than 500, use the next digit 3 from dividend 14323 and add 0 to the quotient
\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)14323}\\\end{array}
Use the 3^{rd} digit 3 from dividend 14323
\begin{array}{l}\phantom{500)}000\phantom{6}\\500\overline{)14323}\\\end{array}
Since 143 is less than 500, use the next digit 2 from dividend 14323 and add 0 to the quotient
\begin{array}{l}\phantom{500)}000\phantom{7}\\500\overline{)14323}\\\end{array}
Use the 4^{th} digit 2 from dividend 14323
\begin{array}{l}\phantom{500)}0002\phantom{8}\\500\overline{)14323}\\\phantom{500)}\underline{\phantom{}1000\phantom{9}}\\\phantom{500)9}432\\\end{array}
Find closest multiple of 500 to 1432. We see that 2 \times 500 = 1000 is the nearest. Now subtract 1000 from 1432 to get reminder 432. Add 2 to quotient.
\begin{array}{l}\phantom{500)}0002\phantom{9}\\500\overline{)14323}\\\phantom{500)}\underline{\phantom{}1000\phantom{9}}\\\phantom{500)9}4323\\\end{array}
Use the 5^{th} digit 3 from dividend 14323
\begin{array}{l}\phantom{500)}00028\phantom{10}\\500\overline{)14323}\\\phantom{500)}\underline{\phantom{}1000\phantom{9}}\\\phantom{500)9}4323\\\phantom{500)}\underline{\phantom{9}4000\phantom{}}\\\phantom{500)99}323\\\end{array}
Find closest multiple of 500 to 4323. We see that 8 \times 500 = 4000 is the nearest. Now subtract 4000 from 4323 to get reminder 323. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }323
Since 323 is less than 500, stop the division. The reminder is 323. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}