Evaluate
\frac{121}{18}\approx 6.722222222
Factor
\frac{11 ^ {2}}{2 \cdot 3 ^ {2}} = 6\frac{13}{18} = 6.722222222222222
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)242}\\\end{array}
Use the 1^{st} digit 2 from dividend 242
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)242}\\\end{array}
Since 2 is less than 36, use the next digit 4 from dividend 242 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)242}\\\end{array}
Use the 2^{nd} digit 4 from dividend 242
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)242}\\\end{array}
Since 24 is less than 36, use the next digit 2 from dividend 242 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)242}\\\end{array}
Use the 3^{rd} digit 2 from dividend 242
\begin{array}{l}\phantom{36)}006\phantom{6}\\36\overline{)242}\\\phantom{36)}\underline{\phantom{}216\phantom{}}\\\phantom{36)9}26\\\end{array}
Find closest multiple of 36 to 242. We see that 6 \times 36 = 216 is the nearest. Now subtract 216 from 242 to get reminder 26. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }26
Since 26 is less than 36, stop the division. The reminder is 26. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}