Evaluate
\frac{64}{49}\approx 1.306122449
Factor
\frac{2 ^ {6}}{7 ^ {2}} = 1\frac{15}{49} = 1.3061224489795917
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\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)64}\\\end{array}
Use the 1^{st} digit 6 from dividend 64
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)64}\\\end{array}
Since 6 is less than 49, use the next digit 4 from dividend 64 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)64}\\\end{array}
Use the 2^{nd} digit 4 from dividend 64
\begin{array}{l}\phantom{49)}01\phantom{4}\\49\overline{)64}\\\phantom{49)}\underline{\phantom{}49\phantom{}}\\\phantom{49)}15\\\end{array}
Find closest multiple of 49 to 64. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 64 to get reminder 15. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }15
Since 15 is less than 49, stop the division. The reminder is 15. The topmost line 01 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}