Evaluate
\frac{79}{12}\approx 6.583333333
Factor
\frac{79}{2 ^ {2} \cdot 3} = 6\frac{7}{12} = 6.583333333333333
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)395}\\\end{array}
Use the 1^{st} digit 3 from dividend 395
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)395}\\\end{array}
Since 3 is less than 60, use the next digit 9 from dividend 395 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)395}\\\end{array}
Use the 2^{nd} digit 9 from dividend 395
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)395}\\\end{array}
Since 39 is less than 60, use the next digit 5 from dividend 395 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)395}\\\end{array}
Use the 3^{rd} digit 5 from dividend 395
\begin{array}{l}\phantom{60)}006\phantom{6}\\60\overline{)395}\\\phantom{60)}\underline{\phantom{}360\phantom{}}\\\phantom{60)9}35\\\end{array}
Find closest multiple of 60 to 395. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 395 to get reminder 35. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }35
Since 35 is less than 60, stop the division. The reminder is 35. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}