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{1232)}\phantom{1}\\1232\overline{)15400}\\\end{array}
Use the 1^{st} digit 1 from dividend 15400
\begin{array}{l}\phantom{1232)}0\phantom{2}\\1232\overline{)15400}\\\end{array}
Since 1 is less than 1232, use the next digit 5 from dividend 15400 and add 0 to the quotient
\begin{array}{l}\phantom{1232)}0\phantom{3}\\1232\overline{)15400}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15400
\begin{array}{l}\phantom{1232)}00\phantom{4}\\1232\overline{)15400}\\\end{array}
Since 15 is less than 1232, use the next digit 4 from dividend 15400 and add 0 to the quotient
\begin{array}{l}\phantom{1232)}00\phantom{5}\\1232\overline{)15400}\\\end{array}
Use the 3^{rd} digit 4 from dividend 15400
\begin{array}{l}\phantom{1232)}000\phantom{6}\\1232\overline{)15400}\\\end{array}
Since 154 is less than 1232, use the next digit 0 from dividend 15400 and add 0 to the quotient
\begin{array}{l}\phantom{1232)}000\phantom{7}\\1232\overline{)15400}\\\end{array}
Use the 4^{th} digit 0 from dividend 15400
\begin{array}{l}\phantom{1232)}0001\phantom{8}\\1232\overline{)15400}\\\phantom{1232)}\underline{\phantom{}1232\phantom{9}}\\\phantom{1232)9}308\\\end{array}
Find closest multiple of 1232 to 1540. We see that 1 \times 1232 = 1232 is the nearest. Now subtract 1232 from 1540 to get reminder 308. Add 1 to quotient.
\begin{array}{l}\phantom{1232)}0001\phantom{9}\\1232\overline{)15400}\\\phantom{1232)}\underline{\phantom{}1232\phantom{9}}\\\phantom{1232)9}3080\\\end{array}
Use the 5^{th} digit 0 from dividend 15400
\begin{array}{l}\phantom{1232)}00012\phantom{10}\\1232\overline{)15400}\\\phantom{1232)}\underline{\phantom{}1232\phantom{9}}\\\phantom{1232)9}3080\\\phantom{1232)}\underline{\phantom{9}2464\phantom{}}\\\phantom{1232)99}616\\\end{array}
Find closest multiple of 1232 to 3080. We see that 2 \times 1232 = 2464 is the nearest. Now subtract 2464 from 3080 to get reminder 616. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }616
Since 616 is less than 1232, stop the division. The reminder is 616. The topmost line 00012 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}