Evaluate
\frac{384035}{320019}\approx 1.200038123
Factor
\frac{5 \cdot 89 \cdot 863}{3 \cdot 7 ^ {3} \cdot 311} = 1\frac{64016}{320019} = 1.2000381227364625
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\begin{array}{l}\phantom{320019)}\phantom{1}\\320019\overline{)384035}\\\end{array}
Use the 1^{st} digit 3 from dividend 384035
\begin{array}{l}\phantom{320019)}0\phantom{2}\\320019\overline{)384035}\\\end{array}
Since 3 is less than 320019, use the next digit 8 from dividend 384035 and add 0 to the quotient
\begin{array}{l}\phantom{320019)}0\phantom{3}\\320019\overline{)384035}\\\end{array}
Use the 2^{nd} digit 8 from dividend 384035
\begin{array}{l}\phantom{320019)}00\phantom{4}\\320019\overline{)384035}\\\end{array}
Since 38 is less than 320019, use the next digit 4 from dividend 384035 and add 0 to the quotient
\begin{array}{l}\phantom{320019)}00\phantom{5}\\320019\overline{)384035}\\\end{array}
Use the 3^{rd} digit 4 from dividend 384035
\begin{array}{l}\phantom{320019)}000\phantom{6}\\320019\overline{)384035}\\\end{array}
Since 384 is less than 320019, use the next digit 0 from dividend 384035 and add 0 to the quotient
\begin{array}{l}\phantom{320019)}000\phantom{7}\\320019\overline{)384035}\\\end{array}
Use the 4^{th} digit 0 from dividend 384035
\begin{array}{l}\phantom{320019)}0000\phantom{8}\\320019\overline{)384035}\\\end{array}
Since 3840 is less than 320019, use the next digit 3 from dividend 384035 and add 0 to the quotient
\begin{array}{l}\phantom{320019)}0000\phantom{9}\\320019\overline{)384035}\\\end{array}
Use the 5^{th} digit 3 from dividend 384035
\begin{array}{l}\phantom{320019)}00000\phantom{10}\\320019\overline{)384035}\\\end{array}
Since 38403 is less than 320019, use the next digit 5 from dividend 384035 and add 0 to the quotient
\begin{array}{l}\phantom{320019)}00000\phantom{11}\\320019\overline{)384035}\\\end{array}
Use the 6^{th} digit 5 from dividend 384035
\begin{array}{l}\phantom{320019)}000001\phantom{12}\\320019\overline{)384035}\\\phantom{320019)}\underline{\phantom{}320019\phantom{}}\\\phantom{320019)9}64016\\\end{array}
Find closest multiple of 320019 to 384035. We see that 1 \times 320019 = 320019 is the nearest. Now subtract 320019 from 384035 to get reminder 64016. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }64016
Since 64016 is less than 320019, stop the division. The reminder is 64016. The topmost line 000001 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}