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{240)}\phantom{1}\\240\overline{)300}\\\end{array}
Use the 1^{st} digit 3 from dividend 300
\begin{array}{l}\phantom{240)}0\phantom{2}\\240\overline{)300}\\\end{array}
Since 3 is less than 240, use the next digit 0 from dividend 300 and add 0 to the quotient
\begin{array}{l}\phantom{240)}0\phantom{3}\\240\overline{)300}\\\end{array}
Use the 2^{nd} digit 0 from dividend 300
\begin{array}{l}\phantom{240)}00\phantom{4}\\240\overline{)300}\\\end{array}
Since 30 is less than 240, use the next digit 0 from dividend 300 and add 0 to the quotient
\begin{array}{l}\phantom{240)}00\phantom{5}\\240\overline{)300}\\\end{array}
Use the 3^{rd} digit 0 from dividend 300
\begin{array}{l}\phantom{240)}001\phantom{6}\\240\overline{)300}\\\phantom{240)}\underline{\phantom{}240\phantom{}}\\\phantom{240)9}60\\\end{array}
Find closest multiple of 240 to 300. We see that 1 \times 240 = 240 is the nearest. Now subtract 240 from 300 to get reminder 60. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }60
Since 60 is less than 240, stop the division. The reminder is 60. 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}