Evaluate
\frac{6}{5}=1.2
Factor
\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2
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\begin{array}{l}\phantom{8750)}\phantom{1}\\8750\overline{)10500}\\\end{array}
Use the 1^{st} digit 1 from dividend 10500
\begin{array}{l}\phantom{8750)}0\phantom{2}\\8750\overline{)10500}\\\end{array}
Since 1 is less than 8750, use the next digit 0 from dividend 10500 and add 0 to the quotient
\begin{array}{l}\phantom{8750)}0\phantom{3}\\8750\overline{)10500}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10500
\begin{array}{l}\phantom{8750)}00\phantom{4}\\8750\overline{)10500}\\\end{array}
Since 10 is less than 8750, use the next digit 5 from dividend 10500 and add 0 to the quotient
\begin{array}{l}\phantom{8750)}00\phantom{5}\\8750\overline{)10500}\\\end{array}
Use the 3^{rd} digit 5 from dividend 10500
\begin{array}{l}\phantom{8750)}000\phantom{6}\\8750\overline{)10500}\\\end{array}
Since 105 is less than 8750, use the next digit 0 from dividend 10500 and add 0 to the quotient
\begin{array}{l}\phantom{8750)}000\phantom{7}\\8750\overline{)10500}\\\end{array}
Use the 4^{th} digit 0 from dividend 10500
\begin{array}{l}\phantom{8750)}0000\phantom{8}\\8750\overline{)10500}\\\end{array}
Since 1050 is less than 8750, use the next digit 0 from dividend 10500 and add 0 to the quotient
\begin{array}{l}\phantom{8750)}0000\phantom{9}\\8750\overline{)10500}\\\end{array}
Use the 5^{th} digit 0 from dividend 10500
\begin{array}{l}\phantom{8750)}00001\phantom{10}\\8750\overline{)10500}\\\phantom{8750)}\underline{\phantom{9}8750\phantom{}}\\\phantom{8750)9}1750\\\end{array}
Find closest multiple of 8750 to 10500. We see that 1 \times 8750 = 8750 is the nearest. Now subtract 8750 from 10500 to get reminder 1750. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }1750
Since 1750 is less than 8750, stop the division. The reminder is 1750. The topmost line 00001 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}