Evaluate
\frac{5}{4}=1.25
Factor
\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)20}\\\end{array}
Use the 1^{st} digit 2 from dividend 20
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)20}\\\end{array}
Since 2 is less than 16, use the next digit 0 from dividend 20 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)20}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20
\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)20}\\\phantom{16)}\underline{\phantom{}16\phantom{}}\\\phantom{16)9}4\\\end{array}
Find closest multiple of 16 to 20. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 20 to get reminder 4. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }4
Since 4 is less than 16, stop the division. The reminder is 4. 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}