Evaluate
\frac{80}{51}\approx 1.568627451
Factor
\frac{2 ^ {4} \cdot 5}{3 \cdot 17} = 1\frac{29}{51} = 1.5686274509803921
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\begin{array}{l}\phantom{510)}\phantom{1}\\510\overline{)800}\\\end{array}
Use the 1^{st} digit 8 from dividend 800
\begin{array}{l}\phantom{510)}0\phantom{2}\\510\overline{)800}\\\end{array}
Since 8 is less than 510, use the next digit 0 from dividend 800 and add 0 to the quotient
\begin{array}{l}\phantom{510)}0\phantom{3}\\510\overline{)800}\\\end{array}
Use the 2^{nd} digit 0 from dividend 800
\begin{array}{l}\phantom{510)}00\phantom{4}\\510\overline{)800}\\\end{array}
Since 80 is less than 510, use the next digit 0 from dividend 800 and add 0 to the quotient
\begin{array}{l}\phantom{510)}00\phantom{5}\\510\overline{)800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 800
\begin{array}{l}\phantom{510)}001\phantom{6}\\510\overline{)800}\\\phantom{510)}\underline{\phantom{}510\phantom{}}\\\phantom{510)}290\\\end{array}
Find closest multiple of 510 to 800. We see that 1 \times 510 = 510 is the nearest. Now subtract 510 from 800 to get reminder 290. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }290
Since 290 is less than 510, stop the division. The reminder is 290. 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}