Evaluate
\frac{19}{4}=4.75
Factor
\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4.75
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\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)304}\\\end{array}
Use the 1^{st} digit 3 from dividend 304
\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)304}\\\end{array}
Since 3 is less than 64, use the next digit 0 from dividend 304 and add 0 to the quotient
\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)304}\\\end{array}
Use the 2^{nd} digit 0 from dividend 304
\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)304}\\\end{array}
Since 30 is less than 64, use the next digit 4 from dividend 304 and add 0 to the quotient
\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)304}\\\end{array}
Use the 3^{rd} digit 4 from dividend 304
\begin{array}{l}\phantom{64)}004\phantom{6}\\64\overline{)304}\\\phantom{64)}\underline{\phantom{}256\phantom{}}\\\phantom{64)9}48\\\end{array}
Find closest multiple of 64 to 304. We see that 4 \times 64 = 256 is the nearest. Now subtract 256 from 304 to get reminder 48. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }48
Since 48 is less than 64, stop the division. The reminder is 48. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}