Evaluate
\frac{364}{317}\approx 1.148264984
Factor
\frac{2 ^ {2} \cdot 7 \cdot 13}{317} = 1\frac{47}{317} = 1.1482649842271293
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\begin{array}{l}\phantom{634)}\phantom{1}\\634\overline{)728}\\\end{array}
Use the 1^{st} digit 7 from dividend 728
\begin{array}{l}\phantom{634)}0\phantom{2}\\634\overline{)728}\\\end{array}
Since 7 is less than 634, use the next digit 2 from dividend 728 and add 0 to the quotient
\begin{array}{l}\phantom{634)}0\phantom{3}\\634\overline{)728}\\\end{array}
Use the 2^{nd} digit 2 from dividend 728
\begin{array}{l}\phantom{634)}00\phantom{4}\\634\overline{)728}\\\end{array}
Since 72 is less than 634, use the next digit 8 from dividend 728 and add 0 to the quotient
\begin{array}{l}\phantom{634)}00\phantom{5}\\634\overline{)728}\\\end{array}
Use the 3^{rd} digit 8 from dividend 728
\begin{array}{l}\phantom{634)}001\phantom{6}\\634\overline{)728}\\\phantom{634)}\underline{\phantom{}634\phantom{}}\\\phantom{634)9}94\\\end{array}
Find closest multiple of 634 to 728. We see that 1 \times 634 = 634 is the nearest. Now subtract 634 from 728 to get reminder 94. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }94
Since 94 is less than 634, stop the division. The reminder is 94. 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}