Evaluate
\frac{769}{336}\approx 2.288690476
Factor
\frac{769}{2 ^ {4} \cdot 3 \cdot 7} = 2\frac{97}{336} = 2.2886904761904763
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\begin{array}{l}\phantom{336)}\phantom{1}\\336\overline{)769}\\\end{array}
Use the 1^{st} digit 7 from dividend 769
\begin{array}{l}\phantom{336)}0\phantom{2}\\336\overline{)769}\\\end{array}
Since 7 is less than 336, use the next digit 6 from dividend 769 and add 0 to the quotient
\begin{array}{l}\phantom{336)}0\phantom{3}\\336\overline{)769}\\\end{array}
Use the 2^{nd} digit 6 from dividend 769
\begin{array}{l}\phantom{336)}00\phantom{4}\\336\overline{)769}\\\end{array}
Since 76 is less than 336, use the next digit 9 from dividend 769 and add 0 to the quotient
\begin{array}{l}\phantom{336)}00\phantom{5}\\336\overline{)769}\\\end{array}
Use the 3^{rd} digit 9 from dividend 769
\begin{array}{l}\phantom{336)}002\phantom{6}\\336\overline{)769}\\\phantom{336)}\underline{\phantom{}672\phantom{}}\\\phantom{336)9}97\\\end{array}
Find closest multiple of 336 to 769. We see that 2 \times 336 = 672 is the nearest. Now subtract 672 from 769 to get reminder 97. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }97
Since 97 is less than 336, stop the division. The reminder is 97. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}