Evaluate
\frac{47}{13}\approx 3.615384615
Factor
\frac{47}{13} = 3\frac{8}{13} = 3.6153846153846154
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\begin{array}{l}\phantom{650)}\phantom{1}\\650\overline{)2350}\\\end{array}
Use the 1^{st} digit 2 from dividend 2350
\begin{array}{l}\phantom{650)}0\phantom{2}\\650\overline{)2350}\\\end{array}
Since 2 is less than 650, use the next digit 3 from dividend 2350 and add 0 to the quotient
\begin{array}{l}\phantom{650)}0\phantom{3}\\650\overline{)2350}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2350
\begin{array}{l}\phantom{650)}00\phantom{4}\\650\overline{)2350}\\\end{array}
Since 23 is less than 650, use the next digit 5 from dividend 2350 and add 0 to the quotient
\begin{array}{l}\phantom{650)}00\phantom{5}\\650\overline{)2350}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2350
\begin{array}{l}\phantom{650)}000\phantom{6}\\650\overline{)2350}\\\end{array}
Since 235 is less than 650, use the next digit 0 from dividend 2350 and add 0 to the quotient
\begin{array}{l}\phantom{650)}000\phantom{7}\\650\overline{)2350}\\\end{array}
Use the 4^{th} digit 0 from dividend 2350
\begin{array}{l}\phantom{650)}0003\phantom{8}\\650\overline{)2350}\\\phantom{650)}\underline{\phantom{}1950\phantom{}}\\\phantom{650)9}400\\\end{array}
Find closest multiple of 650 to 2350. We see that 3 \times 650 = 1950 is the nearest. Now subtract 1950 from 2350 to get reminder 400. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }400
Since 400 is less than 650, stop the division. The reminder is 400. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}