Evaluate
\frac{175}{72}\approx 2.430555556
Factor
\frac{5 ^ {2} \cdot 7}{2 ^ {3} \cdot 3 ^ {2}} = 2\frac{31}{72} = 2.4305555555555554
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\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)8750}\\\end{array}
Use the 1^{st} digit 8 from dividend 8750
\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)8750}\\\end{array}
Since 8 is less than 3600, use the next digit 7 from dividend 8750 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)8750}\\\end{array}
Use the 2^{nd} digit 7 from dividend 8750
\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)8750}\\\end{array}
Since 87 is less than 3600, use the next digit 5 from dividend 8750 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)8750}\\\end{array}
Use the 3^{rd} digit 5 from dividend 8750
\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)8750}\\\end{array}
Since 875 is less than 3600, use the next digit 0 from dividend 8750 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)8750}\\\end{array}
Use the 4^{th} digit 0 from dividend 8750
\begin{array}{l}\phantom{3600)}0002\phantom{8}\\3600\overline{)8750}\\\phantom{3600)}\underline{\phantom{}7200\phantom{}}\\\phantom{3600)}1550\\\end{array}
Find closest multiple of 3600 to 8750. We see that 2 \times 3600 = 7200 is the nearest. Now subtract 7200 from 8750 to get reminder 1550. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }1550
Since 1550 is less than 3600, stop the division. The reminder is 1550. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}