Evaluate
\frac{4000}{139}\approx 28.776978417
Factor
\frac{2 ^ {5} \cdot 5 ^ {3}}{139} = 28\frac{108}{139} = 28.776978417266186
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\begin{array}{l}\phantom{1390)}\phantom{1}\\1390\overline{)40000}\\\end{array}
Use the 1^{st} digit 4 from dividend 40000
\begin{array}{l}\phantom{1390)}0\phantom{2}\\1390\overline{)40000}\\\end{array}
Since 4 is less than 1390, use the next digit 0 from dividend 40000 and add 0 to the quotient
\begin{array}{l}\phantom{1390)}0\phantom{3}\\1390\overline{)40000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 40000
\begin{array}{l}\phantom{1390)}00\phantom{4}\\1390\overline{)40000}\\\end{array}
Since 40 is less than 1390, use the next digit 0 from dividend 40000 and add 0 to the quotient
\begin{array}{l}\phantom{1390)}00\phantom{5}\\1390\overline{)40000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 40000
\begin{array}{l}\phantom{1390)}000\phantom{6}\\1390\overline{)40000}\\\end{array}
Since 400 is less than 1390, use the next digit 0 from dividend 40000 and add 0 to the quotient
\begin{array}{l}\phantom{1390)}000\phantom{7}\\1390\overline{)40000}\\\end{array}
Use the 4^{th} digit 0 from dividend 40000
\begin{array}{l}\phantom{1390)}0002\phantom{8}\\1390\overline{)40000}\\\phantom{1390)}\underline{\phantom{}2780\phantom{9}}\\\phantom{1390)}1220\\\end{array}
Find closest multiple of 1390 to 4000. We see that 2 \times 1390 = 2780 is the nearest. Now subtract 2780 from 4000 to get reminder 1220. Add 2 to quotient.
\begin{array}{l}\phantom{1390)}0002\phantom{9}\\1390\overline{)40000}\\\phantom{1390)}\underline{\phantom{}2780\phantom{9}}\\\phantom{1390)}12200\\\end{array}
Use the 5^{th} digit 0 from dividend 40000
\begin{array}{l}\phantom{1390)}00028\phantom{10}\\1390\overline{)40000}\\\phantom{1390)}\underline{\phantom{}2780\phantom{9}}\\\phantom{1390)}12200\\\phantom{1390)}\underline{\phantom{}11120\phantom{}}\\\phantom{1390)9}1080\\\end{array}
Find closest multiple of 1390 to 12200. We see that 8 \times 1390 = 11120 is the nearest. Now subtract 11120 from 12200 to get reminder 1080. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }1080
Since 1080 is less than 1390, stop the division. The reminder is 1080. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}