Evaluate
\frac{9}{8}=1.125
Factor
\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)36}\\\end{array}
Use the 1^{st} digit 3 from dividend 36
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)36}\\\end{array}
Since 3 is less than 32, use the next digit 6 from dividend 36 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)36}\\\end{array}
Use the 2^{nd} digit 6 from dividend 36
\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)36}\\\phantom{32)}\underline{\phantom{}32\phantom{}}\\\phantom{32)9}4\\\end{array}
Find closest multiple of 32 to 36. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 36 to get reminder 4. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }4
Since 4 is less than 32, stop the division. The reminder is 4. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}