Evaluate
\frac{39}{32}=1.21875
Factor
\frac{3 \cdot 13}{2 ^ {5}} = 1\frac{7}{32} = 1.21875
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\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)117}\\\end{array}
Use the 1^{st} digit 1 from dividend 117
\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)117}\\\end{array}
Since 1 is less than 96, use the next digit 1 from dividend 117 and add 0 to the quotient
\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)117}\\\end{array}
Use the 2^{nd} digit 1 from dividend 117
\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)117}\\\end{array}
Since 11 is less than 96, use the next digit 7 from dividend 117 and add 0 to the quotient
\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)117}\\\end{array}
Use the 3^{rd} digit 7 from dividend 117
\begin{array}{l}\phantom{96)}001\phantom{6}\\96\overline{)117}\\\phantom{96)}\underline{\phantom{9}96\phantom{}}\\\phantom{96)9}21\\\end{array}
Find closest multiple of 96 to 117. We see that 1 \times 96 = 96 is the nearest. Now subtract 96 from 117 to get reminder 21. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }21
Since 21 is less than 96, stop the division. The reminder is 21. The topmost line 001 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}