Evaluate
12
Factor
2^{2}\times 3
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\begin{array}{l}\phantom{1500)}\phantom{1}\\1500\overline{)18000}\\\end{array}
Use the 1^{st} digit 1 from dividend 18000
\begin{array}{l}\phantom{1500)}0\phantom{2}\\1500\overline{)18000}\\\end{array}
Since 1 is less than 1500, use the next digit 8 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}0\phantom{3}\\1500\overline{)18000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 18000
\begin{array}{l}\phantom{1500)}00\phantom{4}\\1500\overline{)18000}\\\end{array}
Since 18 is less than 1500, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}00\phantom{5}\\1500\overline{)18000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 18000
\begin{array}{l}\phantom{1500)}000\phantom{6}\\1500\overline{)18000}\\\end{array}
Since 180 is less than 1500, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}000\phantom{7}\\1500\overline{)18000}\\\end{array}
Use the 4^{th} digit 0 from dividend 18000
\begin{array}{l}\phantom{1500)}0001\phantom{8}\\1500\overline{)18000}\\\phantom{1500)}\underline{\phantom{}1500\phantom{9}}\\\phantom{1500)9}300\\\end{array}
Find closest multiple of 1500 to 1800. We see that 1 \times 1500 = 1500 is the nearest. Now subtract 1500 from 1800 to get reminder 300. Add 1 to quotient.
\begin{array}{l}\phantom{1500)}0001\phantom{9}\\1500\overline{)18000}\\\phantom{1500)}\underline{\phantom{}1500\phantom{9}}\\\phantom{1500)9}3000\\\end{array}
Use the 5^{th} digit 0 from dividend 18000
\begin{array}{l}\phantom{1500)}00012\phantom{10}\\1500\overline{)18000}\\\phantom{1500)}\underline{\phantom{}1500\phantom{9}}\\\phantom{1500)9}3000\\\phantom{1500)}\underline{\phantom{9}3000\phantom{}}\\\phantom{1500)99999}0\\\end{array}
Find closest multiple of 1500 to 3000. We see that 2 \times 1500 = 3000 is the nearest. Now subtract 3000 from 3000 to get reminder 0. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }0
Since 0 is less than 1500, stop the division. The reminder is 0. 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}