Evaluate
\frac{587}{379}\approx 1.548812665
Factor
\frac{587}{379} = 1\frac{208}{379} = 1.5488126649076517
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\begin{array}{l}\phantom{379)}\phantom{1}\\379\overline{)587}\\\end{array}
Use the 1^{st} digit 5 from dividend 587
\begin{array}{l}\phantom{379)}0\phantom{2}\\379\overline{)587}\\\end{array}
Since 5 is less than 379, use the next digit 8 from dividend 587 and add 0 to the quotient
\begin{array}{l}\phantom{379)}0\phantom{3}\\379\overline{)587}\\\end{array}
Use the 2^{nd} digit 8 from dividend 587
\begin{array}{l}\phantom{379)}00\phantom{4}\\379\overline{)587}\\\end{array}
Since 58 is less than 379, use the next digit 7 from dividend 587 and add 0 to the quotient
\begin{array}{l}\phantom{379)}00\phantom{5}\\379\overline{)587}\\\end{array}
Use the 3^{rd} digit 7 from dividend 587
\begin{array}{l}\phantom{379)}001\phantom{6}\\379\overline{)587}\\\phantom{379)}\underline{\phantom{}379\phantom{}}\\\phantom{379)}208\\\end{array}
Find closest multiple of 379 to 587. We see that 1 \times 379 = 379 is the nearest. Now subtract 379 from 587 to get reminder 208. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }208
Since 208 is less than 379, stop the division. The reminder is 208. 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}