Evaluate
\frac{9}{5}=1.8
Factor
\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8
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\begin{array}{l}\phantom{1400)}\phantom{1}\\1400\overline{)2520}\\\end{array}
Use the 1^{st} digit 2 from dividend 2520
\begin{array}{l}\phantom{1400)}0\phantom{2}\\1400\overline{)2520}\\\end{array}
Since 2 is less than 1400, use the next digit 5 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{1400)}0\phantom{3}\\1400\overline{)2520}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2520
\begin{array}{l}\phantom{1400)}00\phantom{4}\\1400\overline{)2520}\\\end{array}
Since 25 is less than 1400, use the next digit 2 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{1400)}00\phantom{5}\\1400\overline{)2520}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2520
\begin{array}{l}\phantom{1400)}000\phantom{6}\\1400\overline{)2520}\\\end{array}
Since 252 is less than 1400, use the next digit 0 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{1400)}000\phantom{7}\\1400\overline{)2520}\\\end{array}
Use the 4^{th} digit 0 from dividend 2520
\begin{array}{l}\phantom{1400)}0001\phantom{8}\\1400\overline{)2520}\\\phantom{1400)}\underline{\phantom{}1400\phantom{}}\\\phantom{1400)}1120\\\end{array}
Find closest multiple of 1400 to 2520. We see that 1 \times 1400 = 1400 is the nearest. Now subtract 1400 from 2520 to get reminder 1120. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }1120
Since 1120 is less than 1400, stop the division. The reminder is 1120. 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}