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{120)}\phantom{1}\\120\overline{)1500}\\\end{array}
Use the 1^{st} digit 1 from dividend 1500
\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)1500}\\\end{array}
Since 1 is less than 120, use the next digit 5 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)1500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1500
\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)1500}\\\end{array}
Since 15 is less than 120, use the next digit 0 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)1500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1500
\begin{array}{l}\phantom{120)}001\phantom{6}\\120\overline{)1500}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}30\\\end{array}
Find closest multiple of 120 to 150. We see that 1 \times 120 = 120 is the nearest. Now subtract 120 from 150 to get reminder 30. Add 1 to quotient.
\begin{array}{l}\phantom{120)}001\phantom{7}\\120\overline{)1500}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 1500
\begin{array}{l}\phantom{120)}0012\phantom{8}\\120\overline{)1500}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}300\\\phantom{120)}\underline{\phantom{9}240\phantom{}}\\\phantom{120)99}60\\\end{array}
Find closest multiple of 120 to 300. We see that 2 \times 120 = 240 is the nearest. Now subtract 240 from 300 to get reminder 60. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }60
Since 60 is less than 120, stop the division. The reminder is 60. 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}