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{616)}\phantom{1}\\616\overline{)7700}\\\end{array}
Use the 1^{st} digit 7 from dividend 7700
\begin{array}{l}\phantom{616)}0\phantom{2}\\616\overline{)7700}\\\end{array}
Since 7 is less than 616, use the next digit 7 from dividend 7700 and add 0 to the quotient
\begin{array}{l}\phantom{616)}0\phantom{3}\\616\overline{)7700}\\\end{array}
Use the 2^{nd} digit 7 from dividend 7700
\begin{array}{l}\phantom{616)}00\phantom{4}\\616\overline{)7700}\\\end{array}
Since 77 is less than 616, use the next digit 0 from dividend 7700 and add 0 to the quotient
\begin{array}{l}\phantom{616)}00\phantom{5}\\616\overline{)7700}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7700
\begin{array}{l}\phantom{616)}001\phantom{6}\\616\overline{)7700}\\\phantom{616)}\underline{\phantom{}616\phantom{9}}\\\phantom{616)}154\\\end{array}
Find closest multiple of 616 to 770. We see that 1 \times 616 = 616 is the nearest. Now subtract 616 from 770 to get reminder 154. Add 1 to quotient.
\begin{array}{l}\phantom{616)}001\phantom{7}\\616\overline{)7700}\\\phantom{616)}\underline{\phantom{}616\phantom{9}}\\\phantom{616)}1540\\\end{array}
Use the 4^{th} digit 0 from dividend 7700
\begin{array}{l}\phantom{616)}0012\phantom{8}\\616\overline{)7700}\\\phantom{616)}\underline{\phantom{}616\phantom{9}}\\\phantom{616)}1540\\\phantom{616)}\underline{\phantom{}1232\phantom{}}\\\phantom{616)9}308\\\end{array}
Find closest multiple of 616 to 1540. We see that 2 \times 616 = 1232 is the nearest. Now subtract 1232 from 1540 to get reminder 308. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }308
Since 308 is less than 616, stop the division. The reminder is 308. 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}