Evaluate
\frac{312}{5}=62.4
Factor
\frac{2 ^ {3} \cdot 3 \cdot 13}{5} = 62\frac{2}{5} = 62.4
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\begin{array}{l}\phantom{465)}\phantom{1}\\465\overline{)29016}\\\end{array}
Use the 1^{st} digit 2 from dividend 29016
\begin{array}{l}\phantom{465)}0\phantom{2}\\465\overline{)29016}\\\end{array}
Since 2 is less than 465, use the next digit 9 from dividend 29016 and add 0 to the quotient
\begin{array}{l}\phantom{465)}0\phantom{3}\\465\overline{)29016}\\\end{array}
Use the 2^{nd} digit 9 from dividend 29016
\begin{array}{l}\phantom{465)}00\phantom{4}\\465\overline{)29016}\\\end{array}
Since 29 is less than 465, use the next digit 0 from dividend 29016 and add 0 to the quotient
\begin{array}{l}\phantom{465)}00\phantom{5}\\465\overline{)29016}\\\end{array}
Use the 3^{rd} digit 0 from dividend 29016
\begin{array}{l}\phantom{465)}000\phantom{6}\\465\overline{)29016}\\\end{array}
Since 290 is less than 465, use the next digit 1 from dividend 29016 and add 0 to the quotient
\begin{array}{l}\phantom{465)}000\phantom{7}\\465\overline{)29016}\\\end{array}
Use the 4^{th} digit 1 from dividend 29016
\begin{array}{l}\phantom{465)}0006\phantom{8}\\465\overline{)29016}\\\phantom{465)}\underline{\phantom{}2790\phantom{9}}\\\phantom{465)9}111\\\end{array}
Find closest multiple of 465 to 2901. We see that 6 \times 465 = 2790 is the nearest. Now subtract 2790 from 2901 to get reminder 111. Add 6 to quotient.
\begin{array}{l}\phantom{465)}0006\phantom{9}\\465\overline{)29016}\\\phantom{465)}\underline{\phantom{}2790\phantom{9}}\\\phantom{465)9}1116\\\end{array}
Use the 5^{th} digit 6 from dividend 29016
\begin{array}{l}\phantom{465)}00062\phantom{10}\\465\overline{)29016}\\\phantom{465)}\underline{\phantom{}2790\phantom{9}}\\\phantom{465)9}1116\\\phantom{465)}\underline{\phantom{99}930\phantom{}}\\\phantom{465)99}186\\\end{array}
Find closest multiple of 465 to 1116. We see that 2 \times 465 = 930 is the nearest. Now subtract 930 from 1116 to get reminder 186. Add 2 to quotient.
\text{Quotient: }62 \text{Reminder: }186
Since 186 is less than 465, stop the division. The reminder is 186. The topmost line 00062 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 62.
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}