Evaluate
\frac{73}{16}=4.5625
Factor
\frac{73}{2 ^ {4}} = 4\frac{9}{16} = 4.5625
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)365}\\\end{array}
Use the 1^{st} digit 3 from dividend 365
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)365}\\\end{array}
Since 3 is less than 80, use the next digit 6 from dividend 365 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)365}\\\end{array}
Use the 2^{nd} digit 6 from dividend 365
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)365}\\\end{array}
Since 36 is less than 80, use the next digit 5 from dividend 365 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)365}\\\end{array}
Use the 3^{rd} digit 5 from dividend 365
\begin{array}{l}\phantom{80)}004\phantom{6}\\80\overline{)365}\\\phantom{80)}\underline{\phantom{}320\phantom{}}\\\phantom{80)9}45\\\end{array}
Find closest multiple of 80 to 365. We see that 4 \times 80 = 320 is the nearest. Now subtract 320 from 365 to get reminder 45. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }45
Since 45 is less than 80, stop the division. The reminder is 45. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}