Evaluate
\frac{147}{50}=2.94
Factor
\frac{3 \cdot 7 ^ {2}}{2 \cdot 5 ^ {2}} = 2\frac{47}{50} = 2.94
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)147}\\\end{array}
Use the 1^{st} digit 1 from dividend 147
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)147}\\\end{array}
Since 1 is less than 50, use the next digit 4 from dividend 147 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)147}\\\end{array}
Use the 2^{nd} digit 4 from dividend 147
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)147}\\\end{array}
Since 14 is less than 50, use the next digit 7 from dividend 147 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)147}\\\end{array}
Use the 3^{rd} digit 7 from dividend 147
\begin{array}{l}\phantom{50)}002\phantom{6}\\50\overline{)147}\\\phantom{50)}\underline{\phantom{}100\phantom{}}\\\phantom{50)9}47\\\end{array}
Find closest multiple of 50 to 147. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 147 to get reminder 47. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }47
Since 47 is less than 50, stop the division. The reminder is 47. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}