Evaluate
\frac{439}{304}\approx 1.444078947
Factor
\frac{439}{2 ^ {4} \cdot 19} = 1\frac{135}{304} = 1.444078947368421
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\begin{array}{l}\phantom{608)}\phantom{1}\\608\overline{)878}\\\end{array}
Use the 1^{st} digit 8 from dividend 878
\begin{array}{l}\phantom{608)}0\phantom{2}\\608\overline{)878}\\\end{array}
Since 8 is less than 608, use the next digit 7 from dividend 878 and add 0 to the quotient
\begin{array}{l}\phantom{608)}0\phantom{3}\\608\overline{)878}\\\end{array}
Use the 2^{nd} digit 7 from dividend 878
\begin{array}{l}\phantom{608)}00\phantom{4}\\608\overline{)878}\\\end{array}
Since 87 is less than 608, use the next digit 8 from dividend 878 and add 0 to the quotient
\begin{array}{l}\phantom{608)}00\phantom{5}\\608\overline{)878}\\\end{array}
Use the 3^{rd} digit 8 from dividend 878
\begin{array}{l}\phantom{608)}001\phantom{6}\\608\overline{)878}\\\phantom{608)}\underline{\phantom{}608\phantom{}}\\\phantom{608)}270\\\end{array}
Find closest multiple of 608 to 878. We see that 1 \times 608 = 608 is the nearest. Now subtract 608 from 878 to get reminder 270. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }270
Since 270 is less than 608, stop the division. The reminder is 270. The topmost line 001 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}