Evaluate
\frac{2000}{3}\approx 666.666666667
Factor
\frac{2 ^ {4} \cdot 5 ^ {3}}{3} = 666\frac{2}{3} = 666.6666666666666
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\begin{array}{l}\phantom{900)}\phantom{1}\\900\overline{)600000}\\\end{array}
Use the 1^{st} digit 6 from dividend 600000
\begin{array}{l}\phantom{900)}0\phantom{2}\\900\overline{)600000}\\\end{array}
Since 6 is less than 900, use the next digit 0 from dividend 600000 and add 0 to the quotient
\begin{array}{l}\phantom{900)}0\phantom{3}\\900\overline{)600000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 600000
\begin{array}{l}\phantom{900)}00\phantom{4}\\900\overline{)600000}\\\end{array}
Since 60 is less than 900, use the next digit 0 from dividend 600000 and add 0 to the quotient
\begin{array}{l}\phantom{900)}00\phantom{5}\\900\overline{)600000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 600000
\begin{array}{l}\phantom{900)}000\phantom{6}\\900\overline{)600000}\\\end{array}
Since 600 is less than 900, use the next digit 0 from dividend 600000 and add 0 to the quotient
\begin{array}{l}\phantom{900)}000\phantom{7}\\900\overline{)600000}\\\end{array}
Use the 4^{th} digit 0 from dividend 600000
\begin{array}{l}\phantom{900)}0006\phantom{8}\\900\overline{)600000}\\\phantom{900)}\underline{\phantom{}5400\phantom{99}}\\\phantom{900)9}600\\\end{array}
Find closest multiple of 900 to 6000. We see that 6 \times 900 = 5400 is the nearest. Now subtract 5400 from 6000 to get reminder 600. Add 6 to quotient.
\begin{array}{l}\phantom{900)}0006\phantom{9}\\900\overline{)600000}\\\phantom{900)}\underline{\phantom{}5400\phantom{99}}\\\phantom{900)9}6000\\\end{array}
Use the 5^{th} digit 0 from dividend 600000
\begin{array}{l}\phantom{900)}00066\phantom{10}\\900\overline{)600000}\\\phantom{900)}\underline{\phantom{}5400\phantom{99}}\\\phantom{900)9}6000\\\phantom{900)}\underline{\phantom{9}5400\phantom{9}}\\\phantom{900)99}600\\\end{array}
Find closest multiple of 900 to 6000. We see that 6 \times 900 = 5400 is the nearest. Now subtract 5400 from 6000 to get reminder 600. Add 6 to quotient.
\begin{array}{l}\phantom{900)}00066\phantom{11}\\900\overline{)600000}\\\phantom{900)}\underline{\phantom{}5400\phantom{99}}\\\phantom{900)9}6000\\\phantom{900)}\underline{\phantom{9}5400\phantom{9}}\\\phantom{900)99}6000\\\end{array}
Use the 6^{th} digit 0 from dividend 600000
\begin{array}{l}\phantom{900)}000666\phantom{12}\\900\overline{)600000}\\\phantom{900)}\underline{\phantom{}5400\phantom{99}}\\\phantom{900)9}6000\\\phantom{900)}\underline{\phantom{9}5400\phantom{9}}\\\phantom{900)99}6000\\\phantom{900)}\underline{\phantom{99}5400\phantom{}}\\\phantom{900)999}600\\\end{array}
Find closest multiple of 900 to 6000. We see that 6 \times 900 = 5400 is the nearest. Now subtract 5400 from 6000 to get reminder 600. Add 6 to quotient.
\text{Quotient: }666 \text{Reminder: }600
Since 600 is less than 900, stop the division. The reminder is 600. The topmost line 000666 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 666.
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}