Evaluate
\frac{77}{50}=1.54
Factor
\frac{7 \cdot 11}{2 \cdot 5 ^ {2}} = 1\frac{27}{50} = 1.54
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\begin{array}{l}\phantom{1500)}\phantom{1}\\1500\overline{)2310}\\\end{array}
Use the 1^{st} digit 2 from dividend 2310
\begin{array}{l}\phantom{1500)}0\phantom{2}\\1500\overline{)2310}\\\end{array}
Since 2 is less than 1500, use the next digit 3 from dividend 2310 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}0\phantom{3}\\1500\overline{)2310}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2310
\begin{array}{l}\phantom{1500)}00\phantom{4}\\1500\overline{)2310}\\\end{array}
Since 23 is less than 1500, use the next digit 1 from dividend 2310 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}00\phantom{5}\\1500\overline{)2310}\\\end{array}
Use the 3^{rd} digit 1 from dividend 2310
\begin{array}{l}\phantom{1500)}000\phantom{6}\\1500\overline{)2310}\\\end{array}
Since 231 is less than 1500, use the next digit 0 from dividend 2310 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}000\phantom{7}\\1500\overline{)2310}\\\end{array}
Use the 4^{th} digit 0 from dividend 2310
\begin{array}{l}\phantom{1500)}0001\phantom{8}\\1500\overline{)2310}\\\phantom{1500)}\underline{\phantom{}1500\phantom{}}\\\phantom{1500)9}810\\\end{array}
Find closest multiple of 1500 to 2310. We see that 1 \times 1500 = 1500 is the nearest. Now subtract 1500 from 2310 to get reminder 810. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }810
Since 810 is less than 1500, stop the division. The reminder is 810. 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}