Evaluate
\frac{79}{36}\approx 2.194444444
Factor
\frac{79}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{7}{36} = 2.1944444444444446
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\begin{array}{l}\phantom{1440)}\phantom{1}\\1440\overline{)3160}\\\end{array}
Use the 1^{st} digit 3 from dividend 3160
\begin{array}{l}\phantom{1440)}0\phantom{2}\\1440\overline{)3160}\\\end{array}
Since 3 is less than 1440, use the next digit 1 from dividend 3160 and add 0 to the quotient
\begin{array}{l}\phantom{1440)}0\phantom{3}\\1440\overline{)3160}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3160
\begin{array}{l}\phantom{1440)}00\phantom{4}\\1440\overline{)3160}\\\end{array}
Since 31 is less than 1440, use the next digit 6 from dividend 3160 and add 0 to the quotient
\begin{array}{l}\phantom{1440)}00\phantom{5}\\1440\overline{)3160}\\\end{array}
Use the 3^{rd} digit 6 from dividend 3160
\begin{array}{l}\phantom{1440)}000\phantom{6}\\1440\overline{)3160}\\\end{array}
Since 316 is less than 1440, use the next digit 0 from dividend 3160 and add 0 to the quotient
\begin{array}{l}\phantom{1440)}000\phantom{7}\\1440\overline{)3160}\\\end{array}
Use the 4^{th} digit 0 from dividend 3160
\begin{array}{l}\phantom{1440)}0002\phantom{8}\\1440\overline{)3160}\\\phantom{1440)}\underline{\phantom{}2880\phantom{}}\\\phantom{1440)9}280\\\end{array}
Find closest multiple of 1440 to 3160. We see that 2 \times 1440 = 2880 is the nearest. Now subtract 2880 from 3160 to get reminder 280. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }280
Since 280 is less than 1440, stop the division. The reminder is 280. The topmost line 0002 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}