Evaluate
11
Factor
11
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\begin{array}{l}\phantom{10400)}\phantom{1}\\10400\overline{)114400}\\\end{array}
Use the 1^{st} digit 1 from dividend 114400
\begin{array}{l}\phantom{10400)}0\phantom{2}\\10400\overline{)114400}\\\end{array}
Since 1 is less than 10400, use the next digit 1 from dividend 114400 and add 0 to the quotient
\begin{array}{l}\phantom{10400)}0\phantom{3}\\10400\overline{)114400}\\\end{array}
Use the 2^{nd} digit 1 from dividend 114400
\begin{array}{l}\phantom{10400)}00\phantom{4}\\10400\overline{)114400}\\\end{array}
Since 11 is less than 10400, use the next digit 4 from dividend 114400 and add 0 to the quotient
\begin{array}{l}\phantom{10400)}00\phantom{5}\\10400\overline{)114400}\\\end{array}
Use the 3^{rd} digit 4 from dividend 114400
\begin{array}{l}\phantom{10400)}000\phantom{6}\\10400\overline{)114400}\\\end{array}
Since 114 is less than 10400, use the next digit 4 from dividend 114400 and add 0 to the quotient
\begin{array}{l}\phantom{10400)}000\phantom{7}\\10400\overline{)114400}\\\end{array}
Use the 4^{th} digit 4 from dividend 114400
\begin{array}{l}\phantom{10400)}0000\phantom{8}\\10400\overline{)114400}\\\end{array}
Since 1144 is less than 10400, use the next digit 0 from dividend 114400 and add 0 to the quotient
\begin{array}{l}\phantom{10400)}0000\phantom{9}\\10400\overline{)114400}\\\end{array}
Use the 5^{th} digit 0 from dividend 114400
\begin{array}{l}\phantom{10400)}00001\phantom{10}\\10400\overline{)114400}\\\phantom{10400)}\underline{\phantom{}10400\phantom{9}}\\\phantom{10400)9}1040\\\end{array}
Find closest multiple of 10400 to 11440. We see that 1 \times 10400 = 10400 is the nearest. Now subtract 10400 from 11440 to get reminder 1040. Add 1 to quotient.
\begin{array}{l}\phantom{10400)}00001\phantom{11}\\10400\overline{)114400}\\\phantom{10400)}\underline{\phantom{}10400\phantom{9}}\\\phantom{10400)9}10400\\\end{array}
Use the 6^{th} digit 0 from dividend 114400
\begin{array}{l}\phantom{10400)}000011\phantom{12}\\10400\overline{)114400}\\\phantom{10400)}\underline{\phantom{}10400\phantom{9}}\\\phantom{10400)9}10400\\\phantom{10400)}\underline{\phantom{9}10400\phantom{}}\\\phantom{10400)999999}0\\\end{array}
Find closest multiple of 10400 to 10400. We see that 1 \times 10400 = 10400 is the nearest. Now subtract 10400 from 10400 to get reminder 0. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }0
Since 0 is less than 10400, stop the division. The reminder is 0. The topmost line 000011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}