Evaluate
11
Factor
11
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)2200}\\\end{array}
Use the 1^{st} digit 2 from dividend 2200
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)2200}\\\end{array}
Since 2 is less than 200, use the next digit 2 from dividend 2200 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)2200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2200
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)2200}\\\end{array}
Since 22 is less than 200, use the next digit 0 from dividend 2200 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)2200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2200
\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)2200}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)9}20\\\end{array}
Find closest multiple of 200 to 220. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 220 to get reminder 20. Add 1 to quotient.
\begin{array}{l}\phantom{200)}001\phantom{7}\\200\overline{)2200}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)9}200\\\end{array}
Use the 4^{th} digit 0 from dividend 2200
\begin{array}{l}\phantom{200)}0011\phantom{8}\\200\overline{)2200}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)9}200\\\phantom{200)}\underline{\phantom{9}200\phantom{}}\\\phantom{200)9999}0\\\end{array}
Find closest multiple of 200 to 200. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 200 to get reminder 0. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }0
Since 0 is less than 200, stop the division. The reminder is 0. The topmost line 0011 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}