Evaluate
\frac{382}{245}\approx 1.559183673
Factor
\frac{2 \cdot 191}{5 \cdot 7 ^ {2}} = 1\frac{137}{245} = 1.5591836734693878
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\begin{array}{l}\phantom{245)}\phantom{1}\\245\overline{)382}\\\end{array}
Use the 1^{st} digit 3 from dividend 382
\begin{array}{l}\phantom{245)}0\phantom{2}\\245\overline{)382}\\\end{array}
Since 3 is less than 245, use the next digit 8 from dividend 382 and add 0 to the quotient
\begin{array}{l}\phantom{245)}0\phantom{3}\\245\overline{)382}\\\end{array}
Use the 2^{nd} digit 8 from dividend 382
\begin{array}{l}\phantom{245)}00\phantom{4}\\245\overline{)382}\\\end{array}
Since 38 is less than 245, use the next digit 2 from dividend 382 and add 0 to the quotient
\begin{array}{l}\phantom{245)}00\phantom{5}\\245\overline{)382}\\\end{array}
Use the 3^{rd} digit 2 from dividend 382
\begin{array}{l}\phantom{245)}001\phantom{6}\\245\overline{)382}\\\phantom{245)}\underline{\phantom{}245\phantom{}}\\\phantom{245)}137\\\end{array}
Find closest multiple of 245 to 382. We see that 1 \times 245 = 245 is the nearest. Now subtract 245 from 382 to get reminder 137. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }137
Since 137 is less than 245, stop the division. The reminder is 137. 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}