Evaluate
\frac{8}{5}=1.6
Factor
\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6
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\begin{array}{l}\phantom{2205)}\phantom{1}\\2205\overline{)3528}\\\end{array}
Use the 1^{st} digit 3 from dividend 3528
\begin{array}{l}\phantom{2205)}0\phantom{2}\\2205\overline{)3528}\\\end{array}
Since 3 is less than 2205, use the next digit 5 from dividend 3528 and add 0 to the quotient
\begin{array}{l}\phantom{2205)}0\phantom{3}\\2205\overline{)3528}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3528
\begin{array}{l}\phantom{2205)}00\phantom{4}\\2205\overline{)3528}\\\end{array}
Since 35 is less than 2205, use the next digit 2 from dividend 3528 and add 0 to the quotient
\begin{array}{l}\phantom{2205)}00\phantom{5}\\2205\overline{)3528}\\\end{array}
Use the 3^{rd} digit 2 from dividend 3528
\begin{array}{l}\phantom{2205)}000\phantom{6}\\2205\overline{)3528}\\\end{array}
Since 352 is less than 2205, use the next digit 8 from dividend 3528 and add 0 to the quotient
\begin{array}{l}\phantom{2205)}000\phantom{7}\\2205\overline{)3528}\\\end{array}
Use the 4^{th} digit 8 from dividend 3528
\begin{array}{l}\phantom{2205)}0001\phantom{8}\\2205\overline{)3528}\\\phantom{2205)}\underline{\phantom{}2205\phantom{}}\\\phantom{2205)}1323\\\end{array}
Find closest multiple of 2205 to 3528. We see that 1 \times 2205 = 2205 is the nearest. Now subtract 2205 from 3528 to get reminder 1323. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }1323
Since 1323 is less than 2205, stop the division. The reminder is 1323. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}