Evaluate
\frac{852}{533}\approx 1.598499062
Factor
\frac{2 ^ {2} \cdot 3 \cdot 71}{13 \cdot 41} = 1\frac{319}{533} = 1.598499061913696
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\begin{array}{l}\phantom{533)}\phantom{1}\\533\overline{)852}\\\end{array}
Use the 1^{st} digit 8 from dividend 852
\begin{array}{l}\phantom{533)}0\phantom{2}\\533\overline{)852}\\\end{array}
Since 8 is less than 533, use the next digit 5 from dividend 852 and add 0 to the quotient
\begin{array}{l}\phantom{533)}0\phantom{3}\\533\overline{)852}\\\end{array}
Use the 2^{nd} digit 5 from dividend 852
\begin{array}{l}\phantom{533)}00\phantom{4}\\533\overline{)852}\\\end{array}
Since 85 is less than 533, use the next digit 2 from dividend 852 and add 0 to the quotient
\begin{array}{l}\phantom{533)}00\phantom{5}\\533\overline{)852}\\\end{array}
Use the 3^{rd} digit 2 from dividend 852
\begin{array}{l}\phantom{533)}001\phantom{6}\\533\overline{)852}\\\phantom{533)}\underline{\phantom{}533\phantom{}}\\\phantom{533)}319\\\end{array}
Find closest multiple of 533 to 852. We see that 1 \times 533 = 533 is the nearest. Now subtract 533 from 852 to get reminder 319. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }319
Since 319 is less than 533, stop the division. The reminder is 319. 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}