Evaluate
\frac{6458}{4293}\approx 1.504309341
Factor
\frac{2 \cdot 3229}{3 ^ {4} \cdot 53} = 1\frac{2165}{4293} = 1.5043093407873283
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\begin{array}{l}\phantom{34344)}\phantom{1}\\34344\overline{)51664}\\\end{array}
Use the 1^{st} digit 5 from dividend 51664
\begin{array}{l}\phantom{34344)}0\phantom{2}\\34344\overline{)51664}\\\end{array}
Since 5 is less than 34344, use the next digit 1 from dividend 51664 and add 0 to the quotient
\begin{array}{l}\phantom{34344)}0\phantom{3}\\34344\overline{)51664}\\\end{array}
Use the 2^{nd} digit 1 from dividend 51664
\begin{array}{l}\phantom{34344)}00\phantom{4}\\34344\overline{)51664}\\\end{array}
Since 51 is less than 34344, use the next digit 6 from dividend 51664 and add 0 to the quotient
\begin{array}{l}\phantom{34344)}00\phantom{5}\\34344\overline{)51664}\\\end{array}
Use the 3^{rd} digit 6 from dividend 51664
\begin{array}{l}\phantom{34344)}000\phantom{6}\\34344\overline{)51664}\\\end{array}
Since 516 is less than 34344, use the next digit 6 from dividend 51664 and add 0 to the quotient
\begin{array}{l}\phantom{34344)}000\phantom{7}\\34344\overline{)51664}\\\end{array}
Use the 4^{th} digit 6 from dividend 51664
\begin{array}{l}\phantom{34344)}0000\phantom{8}\\34344\overline{)51664}\\\end{array}
Since 5166 is less than 34344, use the next digit 4 from dividend 51664 and add 0 to the quotient
\begin{array}{l}\phantom{34344)}0000\phantom{9}\\34344\overline{)51664}\\\end{array}
Use the 5^{th} digit 4 from dividend 51664
\begin{array}{l}\phantom{34344)}00001\phantom{10}\\34344\overline{)51664}\\\phantom{34344)}\underline{\phantom{}34344\phantom{}}\\\phantom{34344)}17320\\\end{array}
Find closest multiple of 34344 to 51664. We see that 1 \times 34344 = 34344 is the nearest. Now subtract 34344 from 51664 to get reminder 17320. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }17320
Since 17320 is less than 34344, stop the division. The reminder is 17320. 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}