Evaluate
\frac{32}{5}=6.4
Factor
\frac{2 ^ {5}}{5} = 6\frac{2}{5} = 6.4
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\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)352}\\\end{array}
Use the 1^{st} digit 3 from dividend 352
\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)352}\\\end{array}
Since 3 is less than 55, use the next digit 5 from dividend 352 and add 0 to the quotient
\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)352}\\\end{array}
Use the 2^{nd} digit 5 from dividend 352
\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)352}\\\end{array}
Since 35 is less than 55, use the next digit 2 from dividend 352 and add 0 to the quotient
\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)352}\\\end{array}
Use the 3^{rd} digit 2 from dividend 352
\begin{array}{l}\phantom{55)}006\phantom{6}\\55\overline{)352}\\\phantom{55)}\underline{\phantom{}330\phantom{}}\\\phantom{55)9}22\\\end{array}
Find closest multiple of 55 to 352. We see that 6 \times 55 = 330 is the nearest. Now subtract 330 from 352 to get reminder 22. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }22
Since 22 is less than 55, stop the division. The reminder is 22. 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}