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{1200)}\phantom{1}\\1200\overline{)15000}\\\end{array}
Use the 1^{st} digit 1 from dividend 15000
\begin{array}{l}\phantom{1200)}0\phantom{2}\\1200\overline{)15000}\\\end{array}
Since 1 is less than 1200, use the next digit 5 from dividend 15000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}0\phantom{3}\\1200\overline{)15000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15000
\begin{array}{l}\phantom{1200)}00\phantom{4}\\1200\overline{)15000}\\\end{array}
Since 15 is less than 1200, use the next digit 0 from dividend 15000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}00\phantom{5}\\1200\overline{)15000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 15000
\begin{array}{l}\phantom{1200)}000\phantom{6}\\1200\overline{)15000}\\\end{array}
Since 150 is less than 1200, use the next digit 0 from dividend 15000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}000\phantom{7}\\1200\overline{)15000}\\\end{array}
Use the 4^{th} digit 0 from dividend 15000
\begin{array}{l}\phantom{1200)}0001\phantom{8}\\1200\overline{)15000}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}300\\\end{array}
Find closest multiple of 1200 to 1500. We see that 1 \times 1200 = 1200 is the nearest. Now subtract 1200 from 1500 to get reminder 300. Add 1 to quotient.
\begin{array}{l}\phantom{1200)}0001\phantom{9}\\1200\overline{)15000}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}3000\\\end{array}
Use the 5^{th} digit 0 from dividend 15000
\begin{array}{l}\phantom{1200)}00012\phantom{10}\\1200\overline{)15000}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}3000\\\phantom{1200)}\underline{\phantom{9}2400\phantom{}}\\\phantom{1200)99}600\\\end{array}
Find closest multiple of 1200 to 3000. We see that 2 \times 1200 = 2400 is the nearest. Now subtract 2400 from 3000 to get reminder 600. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }600
Since 600 is less than 1200, stop the division. The reminder is 600. 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}