Evaluate
12
Factor
2^{2}\times 3
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\begin{array}{l}\phantom{1150)}\phantom{1}\\1150\overline{)13800}\\\end{array}
Use the 1^{st} digit 1 from dividend 13800
\begin{array}{l}\phantom{1150)}0\phantom{2}\\1150\overline{)13800}\\\end{array}
Since 1 is less than 1150, use the next digit 3 from dividend 13800 and add 0 to the quotient
\begin{array}{l}\phantom{1150)}0\phantom{3}\\1150\overline{)13800}\\\end{array}
Use the 2^{nd} digit 3 from dividend 13800
\begin{array}{l}\phantom{1150)}00\phantom{4}\\1150\overline{)13800}\\\end{array}
Since 13 is less than 1150, use the next digit 8 from dividend 13800 and add 0 to the quotient
\begin{array}{l}\phantom{1150)}00\phantom{5}\\1150\overline{)13800}\\\end{array}
Use the 3^{rd} digit 8 from dividend 13800
\begin{array}{l}\phantom{1150)}000\phantom{6}\\1150\overline{)13800}\\\end{array}
Since 138 is less than 1150, use the next digit 0 from dividend 13800 and add 0 to the quotient
\begin{array}{l}\phantom{1150)}000\phantom{7}\\1150\overline{)13800}\\\end{array}
Use the 4^{th} digit 0 from dividend 13800
\begin{array}{l}\phantom{1150)}0001\phantom{8}\\1150\overline{)13800}\\\phantom{1150)}\underline{\phantom{}1150\phantom{9}}\\\phantom{1150)9}230\\\end{array}
Find closest multiple of 1150 to 1380. We see that 1 \times 1150 = 1150 is the nearest. Now subtract 1150 from 1380 to get reminder 230. Add 1 to quotient.
\begin{array}{l}\phantom{1150)}0001\phantom{9}\\1150\overline{)13800}\\\phantom{1150)}\underline{\phantom{}1150\phantom{9}}\\\phantom{1150)9}2300\\\end{array}
Use the 5^{th} digit 0 from dividend 13800
\begin{array}{l}\phantom{1150)}00012\phantom{10}\\1150\overline{)13800}\\\phantom{1150)}\underline{\phantom{}1150\phantom{9}}\\\phantom{1150)9}2300\\\phantom{1150)}\underline{\phantom{9}2300\phantom{}}\\\phantom{1150)99999}0\\\end{array}
Find closest multiple of 1150 to 2300. We see that 2 \times 1150 = 2300 is the nearest. Now subtract 2300 from 2300 to get reminder 0. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }0
Since 0 is less than 1150, 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}