Evaluate
\frac{73}{50}=1.46
Factor
\frac{73}{2 \cdot 5 ^ {2}} = 1\frac{23}{50} = 1.46
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)146}\\\end{array}
Use the 1^{st} digit 1 from dividend 146
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)146}\\\end{array}
Since 1 is less than 100, use the next digit 4 from dividend 146 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)146}\\\end{array}
Use the 2^{nd} digit 4 from dividend 146
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)146}\\\end{array}
Since 14 is less than 100, use the next digit 6 from dividend 146 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)146}\\\end{array}
Use the 3^{rd} digit 6 from dividend 146
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)146}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}46\\\end{array}
Find closest multiple of 100 to 146. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 146 to get reminder 46. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }46
Since 46 is less than 100, stop the division. The reminder is 46. 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}