Evaluate
\frac{4}{3}\approx 1.333333333
Factor
\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333
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\begin{array}{l}\phantom{1350)}\phantom{1}\\1350\overline{)1800}\\\end{array}
Use the 1^{st} digit 1 from dividend 1800
\begin{array}{l}\phantom{1350)}0\phantom{2}\\1350\overline{)1800}\\\end{array}
Since 1 is less than 1350, use the next digit 8 from dividend 1800 and add 0 to the quotient
\begin{array}{l}\phantom{1350)}0\phantom{3}\\1350\overline{)1800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 1800
\begin{array}{l}\phantom{1350)}00\phantom{4}\\1350\overline{)1800}\\\end{array}
Since 18 is less than 1350, use the next digit 0 from dividend 1800 and add 0 to the quotient
\begin{array}{l}\phantom{1350)}00\phantom{5}\\1350\overline{)1800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1800
\begin{array}{l}\phantom{1350)}000\phantom{6}\\1350\overline{)1800}\\\end{array}
Since 180 is less than 1350, use the next digit 0 from dividend 1800 and add 0 to the quotient
\begin{array}{l}\phantom{1350)}000\phantom{7}\\1350\overline{)1800}\\\end{array}
Use the 4^{th} digit 0 from dividend 1800
\begin{array}{l}\phantom{1350)}0001\phantom{8}\\1350\overline{)1800}\\\phantom{1350)}\underline{\phantom{}1350\phantom{}}\\\phantom{1350)9}450\\\end{array}
Find closest multiple of 1350 to 1800. We see that 1 \times 1350 = 1350 is the nearest. Now subtract 1350 from 1800 to get reminder 450. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }450
Since 450 is less than 1350, stop the division. The reminder is 450. 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}