Evaluate
\frac{200}{3}\approx 66.666666667
Factor
\frac{2 ^ {3} \cdot 5 ^ {2}}{3} = 66\frac{2}{3} = 66.66666666666667
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\begin{array}{l}\phantom{30000)}\phantom{1}\\30000\overline{)2000000}\\\end{array}
Use the 1^{st} digit 2 from dividend 2000000
\begin{array}{l}\phantom{30000)}0\phantom{2}\\30000\overline{)2000000}\\\end{array}
Since 2 is less than 30000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{30000)}0\phantom{3}\\30000\overline{)2000000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 2000000
\begin{array}{l}\phantom{30000)}00\phantom{4}\\30000\overline{)2000000}\\\end{array}
Since 20 is less than 30000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{30000)}00\phantom{5}\\30000\overline{)2000000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2000000
\begin{array}{l}\phantom{30000)}000\phantom{6}\\30000\overline{)2000000}\\\end{array}
Since 200 is less than 30000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{30000)}000\phantom{7}\\30000\overline{)2000000}\\\end{array}
Use the 4^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{30000)}0000\phantom{8}\\30000\overline{)2000000}\\\end{array}
Since 2000 is less than 30000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{30000)}0000\phantom{9}\\30000\overline{)2000000}\\\end{array}
Use the 5^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{30000)}00000\phantom{10}\\30000\overline{)2000000}\\\end{array}
Since 20000 is less than 30000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{30000)}00000\phantom{11}\\30000\overline{)2000000}\\\end{array}
Use the 6^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{30000)}000006\phantom{12}\\30000\overline{)2000000}\\\phantom{30000)}\underline{\phantom{}180000\phantom{9}}\\\phantom{30000)9}20000\\\end{array}
Find closest multiple of 30000 to 200000. We see that 6 \times 30000 = 180000 is the nearest. Now subtract 180000 from 200000 to get reminder 20000. Add 6 to quotient.
\begin{array}{l}\phantom{30000)}000006\phantom{13}\\30000\overline{)2000000}\\\phantom{30000)}\underline{\phantom{}180000\phantom{9}}\\\phantom{30000)9}200000\\\end{array}
Use the 7^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{30000)}0000066\phantom{14}\\30000\overline{)2000000}\\\phantom{30000)}\underline{\phantom{}180000\phantom{9}}\\\phantom{30000)9}200000\\\phantom{30000)}\underline{\phantom{9}180000\phantom{}}\\\phantom{30000)99}20000\\\end{array}
Find closest multiple of 30000 to 200000. We see that 6 \times 30000 = 180000 is the nearest. Now subtract 180000 from 200000 to get reminder 20000. Add 6 to quotient.
\text{Quotient: }66 \text{Reminder: }20000
Since 20000 is less than 30000, stop the division. The reminder is 20000. The topmost line 0000066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.
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}