Evaluate
\frac{25}{2}=12.5
Factor
\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5
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\begin{array}{l}\phantom{192)}\phantom{1}\\192\overline{)2400}\\\end{array}
Use the 1^{st} digit 2 from dividend 2400
\begin{array}{l}\phantom{192)}0\phantom{2}\\192\overline{)2400}\\\end{array}
Since 2 is less than 192, use the next digit 4 from dividend 2400 and add 0 to the quotient
\begin{array}{l}\phantom{192)}0\phantom{3}\\192\overline{)2400}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2400
\begin{array}{l}\phantom{192)}00\phantom{4}\\192\overline{)2400}\\\end{array}
Since 24 is less than 192, use the next digit 0 from dividend 2400 and add 0 to the quotient
\begin{array}{l}\phantom{192)}00\phantom{5}\\192\overline{)2400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2400
\begin{array}{l}\phantom{192)}001\phantom{6}\\192\overline{)2400}\\\phantom{192)}\underline{\phantom{}192\phantom{9}}\\\phantom{192)9}48\\\end{array}
Find closest multiple of 192 to 240. We see that 1 \times 192 = 192 is the nearest. Now subtract 192 from 240 to get reminder 48. Add 1 to quotient.
\begin{array}{l}\phantom{192)}001\phantom{7}\\192\overline{)2400}\\\phantom{192)}\underline{\phantom{}192\phantom{9}}\\\phantom{192)9}480\\\end{array}
Use the 4^{th} digit 0 from dividend 2400
\begin{array}{l}\phantom{192)}0012\phantom{8}\\192\overline{)2400}\\\phantom{192)}\underline{\phantom{}192\phantom{9}}\\\phantom{192)9}480\\\phantom{192)}\underline{\phantom{9}384\phantom{}}\\\phantom{192)99}96\\\end{array}
Find closest multiple of 192 to 480. We see that 2 \times 192 = 384 is the nearest. Now subtract 384 from 480 to get reminder 96. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }96
Since 96 is less than 192, stop the division. The reminder is 96. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.
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}