Evaluate
\frac{164042}{105789}\approx 1.550652714
Factor
\frac{2 \cdot 82021}{3 \cdot 179 \cdot 197} = 1\frac{58253}{105789} = 1.5506527143653877
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\begin{array}{l}\phantom{211578)}\phantom{1}\\211578\overline{)328084}\\\end{array}
Use the 1^{st} digit 3 from dividend 328084
\begin{array}{l}\phantom{211578)}0\phantom{2}\\211578\overline{)328084}\\\end{array}
Since 3 is less than 211578, use the next digit 2 from dividend 328084 and add 0 to the quotient
\begin{array}{l}\phantom{211578)}0\phantom{3}\\211578\overline{)328084}\\\end{array}
Use the 2^{nd} digit 2 from dividend 328084
\begin{array}{l}\phantom{211578)}00\phantom{4}\\211578\overline{)328084}\\\end{array}
Since 32 is less than 211578, use the next digit 8 from dividend 328084 and add 0 to the quotient
\begin{array}{l}\phantom{211578)}00\phantom{5}\\211578\overline{)328084}\\\end{array}
Use the 3^{rd} digit 8 from dividend 328084
\begin{array}{l}\phantom{211578)}000\phantom{6}\\211578\overline{)328084}\\\end{array}
Since 328 is less than 211578, use the next digit 0 from dividend 328084 and add 0 to the quotient
\begin{array}{l}\phantom{211578)}000\phantom{7}\\211578\overline{)328084}\\\end{array}
Use the 4^{th} digit 0 from dividend 328084
\begin{array}{l}\phantom{211578)}0000\phantom{8}\\211578\overline{)328084}\\\end{array}
Since 3280 is less than 211578, use the next digit 8 from dividend 328084 and add 0 to the quotient
\begin{array}{l}\phantom{211578)}0000\phantom{9}\\211578\overline{)328084}\\\end{array}
Use the 5^{th} digit 8 from dividend 328084
\begin{array}{l}\phantom{211578)}00000\phantom{10}\\211578\overline{)328084}\\\end{array}
Since 32808 is less than 211578, use the next digit 4 from dividend 328084 and add 0 to the quotient
\begin{array}{l}\phantom{211578)}00000\phantom{11}\\211578\overline{)328084}\\\end{array}
Use the 6^{th} digit 4 from dividend 328084
\begin{array}{l}\phantom{211578)}000001\phantom{12}\\211578\overline{)328084}\\\phantom{211578)}\underline{\phantom{}211578\phantom{}}\\\phantom{211578)}116506\\\end{array}
Find closest multiple of 211578 to 328084. We see that 1 \times 211578 = 211578 is the nearest. Now subtract 211578 from 328084 to get reminder 116506. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }116506
Since 116506 is less than 211578, stop the division. The reminder is 116506. The topmost line 000001 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}