Evaluate
\frac{591}{196}\approx 3.015306122
Factor
\frac{3 \cdot 197}{2 ^ {2} \cdot 7 ^ {2}} = 3\frac{3}{196} = 3.0153061224489797
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\begin{array}{l}\phantom{196)}\phantom{1}\\196\overline{)591}\\\end{array}
Use the 1^{st} digit 5 from dividend 591
\begin{array}{l}\phantom{196)}0\phantom{2}\\196\overline{)591}\\\end{array}
Since 5 is less than 196, use the next digit 9 from dividend 591 and add 0 to the quotient
\begin{array}{l}\phantom{196)}0\phantom{3}\\196\overline{)591}\\\end{array}
Use the 2^{nd} digit 9 from dividend 591
\begin{array}{l}\phantom{196)}00\phantom{4}\\196\overline{)591}\\\end{array}
Since 59 is less than 196, use the next digit 1 from dividend 591 and add 0 to the quotient
\begin{array}{l}\phantom{196)}00\phantom{5}\\196\overline{)591}\\\end{array}
Use the 3^{rd} digit 1 from dividend 591
\begin{array}{l}\phantom{196)}003\phantom{6}\\196\overline{)591}\\\phantom{196)}\underline{\phantom{}588\phantom{}}\\\phantom{196)99}3\\\end{array}
Find closest multiple of 196 to 591. We see that 3 \times 196 = 588 is the nearest. Now subtract 588 from 591 to get reminder 3. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }3
Since 3 is less than 196, stop the division. The reminder is 3. The topmost line 003 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}