Evaluate
11
Factor
11
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\begin{array}{l}\phantom{230)}\phantom{1}\\230\overline{)2530}\\\end{array}
Use the 1^{st} digit 2 from dividend 2530
\begin{array}{l}\phantom{230)}0\phantom{2}\\230\overline{)2530}\\\end{array}
Since 2 is less than 230, use the next digit 5 from dividend 2530 and add 0 to the quotient
\begin{array}{l}\phantom{230)}0\phantom{3}\\230\overline{)2530}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2530
\begin{array}{l}\phantom{230)}00\phantom{4}\\230\overline{)2530}\\\end{array}
Since 25 is less than 230, use the next digit 3 from dividend 2530 and add 0 to the quotient
\begin{array}{l}\phantom{230)}00\phantom{5}\\230\overline{)2530}\\\end{array}
Use the 3^{rd} digit 3 from dividend 2530
\begin{array}{l}\phantom{230)}001\phantom{6}\\230\overline{)2530}\\\phantom{230)}\underline{\phantom{}230\phantom{9}}\\\phantom{230)9}23\\\end{array}
Find closest multiple of 230 to 253. We see that 1 \times 230 = 230 is the nearest. Now subtract 230 from 253 to get reminder 23. Add 1 to quotient.
\begin{array}{l}\phantom{230)}001\phantom{7}\\230\overline{)2530}\\\phantom{230)}\underline{\phantom{}230\phantom{9}}\\\phantom{230)9}230\\\end{array}
Use the 4^{th} digit 0 from dividend 2530
\begin{array}{l}\phantom{230)}0011\phantom{8}\\230\overline{)2530}\\\phantom{230)}\underline{\phantom{}230\phantom{9}}\\\phantom{230)9}230\\\phantom{230)}\underline{\phantom{9}230\phantom{}}\\\phantom{230)9999}0\\\end{array}
Find closest multiple of 230 to 230. We see that 1 \times 230 = 230 is the nearest. Now subtract 230 from 230 to get reminder 0. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }0
Since 0 is less than 230, 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}