Evaluate
\frac{64}{37}\approx 1.72972973
Factor
\frac{2 ^ {6}}{37} = 1\frac{27}{37} = 1.7297297297297298
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\begin{array}{l}\phantom{407)}\phantom{1}\\407\overline{)704}\\\end{array}
Use the 1^{st} digit 7 from dividend 704
\begin{array}{l}\phantom{407)}0\phantom{2}\\407\overline{)704}\\\end{array}
Since 7 is less than 407, use the next digit 0 from dividend 704 and add 0 to the quotient
\begin{array}{l}\phantom{407)}0\phantom{3}\\407\overline{)704}\\\end{array}
Use the 2^{nd} digit 0 from dividend 704
\begin{array}{l}\phantom{407)}00\phantom{4}\\407\overline{)704}\\\end{array}
Since 70 is less than 407, use the next digit 4 from dividend 704 and add 0 to the quotient
\begin{array}{l}\phantom{407)}00\phantom{5}\\407\overline{)704}\\\end{array}
Use the 3^{rd} digit 4 from dividend 704
\begin{array}{l}\phantom{407)}001\phantom{6}\\407\overline{)704}\\\phantom{407)}\underline{\phantom{}407\phantom{}}\\\phantom{407)}297\\\end{array}
Find closest multiple of 407 to 704. We see that 1 \times 407 = 407 is the nearest. Now subtract 407 from 704 to get reminder 297. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }297
Since 297 is less than 407, stop the division. The reminder is 297. 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}