Evaluate
\frac{33357}{4000}=8.33925
Factor
\frac{3 \cdot 11119}{2 ^ {5} \cdot 5 ^ {3}} = 8\frac{1357}{4000} = 8.33925
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\begin{array}{l}\phantom{8000)}\phantom{1}\\8000\overline{)66714}\\\end{array}
Use the 1^{st} digit 6 from dividend 66714
\begin{array}{l}\phantom{8000)}0\phantom{2}\\8000\overline{)66714}\\\end{array}
Since 6 is less than 8000, use the next digit 6 from dividend 66714 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}0\phantom{3}\\8000\overline{)66714}\\\end{array}
Use the 2^{nd} digit 6 from dividend 66714
\begin{array}{l}\phantom{8000)}00\phantom{4}\\8000\overline{)66714}\\\end{array}
Since 66 is less than 8000, use the next digit 7 from dividend 66714 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}00\phantom{5}\\8000\overline{)66714}\\\end{array}
Use the 3^{rd} digit 7 from dividend 66714
\begin{array}{l}\phantom{8000)}000\phantom{6}\\8000\overline{)66714}\\\end{array}
Since 667 is less than 8000, use the next digit 1 from dividend 66714 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}000\phantom{7}\\8000\overline{)66714}\\\end{array}
Use the 4^{th} digit 1 from dividend 66714
\begin{array}{l}\phantom{8000)}0000\phantom{8}\\8000\overline{)66714}\\\end{array}
Since 6671 is less than 8000, use the next digit 4 from dividend 66714 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}0000\phantom{9}\\8000\overline{)66714}\\\end{array}
Use the 5^{th} digit 4 from dividend 66714
\begin{array}{l}\phantom{8000)}00008\phantom{10}\\8000\overline{)66714}\\\phantom{8000)}\underline{\phantom{}64000\phantom{}}\\\phantom{8000)9}2714\\\end{array}
Find closest multiple of 8000 to 66714. We see that 8 \times 8000 = 64000 is the nearest. Now subtract 64000 from 66714 to get reminder 2714. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }2714
Since 2714 is less than 8000, stop the division. The reminder is 2714. The topmost line 00008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}