Evaluate
\frac{683}{512}=1.333984375
Factor
\frac{683}{2 ^ {9}} = 1\frac{171}{512} = 1.333984375
Share
Copied to clipboard
\begin{array}{l}\phantom{2048)}\phantom{1}\\2048\overline{)2732}\\\end{array}
Use the 1^{st} digit 2 from dividend 2732
\begin{array}{l}\phantom{2048)}0\phantom{2}\\2048\overline{)2732}\\\end{array}
Since 2 is less than 2048, use the next digit 7 from dividend 2732 and add 0 to the quotient
\begin{array}{l}\phantom{2048)}0\phantom{3}\\2048\overline{)2732}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2732
\begin{array}{l}\phantom{2048)}00\phantom{4}\\2048\overline{)2732}\\\end{array}
Since 27 is less than 2048, use the next digit 3 from dividend 2732 and add 0 to the quotient
\begin{array}{l}\phantom{2048)}00\phantom{5}\\2048\overline{)2732}\\\end{array}
Use the 3^{rd} digit 3 from dividend 2732
\begin{array}{l}\phantom{2048)}000\phantom{6}\\2048\overline{)2732}\\\end{array}
Since 273 is less than 2048, use the next digit 2 from dividend 2732 and add 0 to the quotient
\begin{array}{l}\phantom{2048)}000\phantom{7}\\2048\overline{)2732}\\\end{array}
Use the 4^{th} digit 2 from dividend 2732
\begin{array}{l}\phantom{2048)}0001\phantom{8}\\2048\overline{)2732}\\\phantom{2048)}\underline{\phantom{}2048\phantom{}}\\\phantom{2048)9}684\\\end{array}
Find closest multiple of 2048 to 2732. We see that 1 \times 2048 = 2048 is the nearest. Now subtract 2048 from 2732 to get reminder 684. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }684
Since 684 is less than 2048, stop the division. The reminder is 684. The topmost line 0001 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}