Evaluate
\frac{18000}{911}\approx 19.758507135
Factor
\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {3}}{911} = 19\frac{691}{911} = 19.758507135016465
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\begin{array}{l}\phantom{911)}\phantom{1}\\911\overline{)18000}\\\end{array}
Use the 1^{st} digit 1 from dividend 18000
\begin{array}{l}\phantom{911)}0\phantom{2}\\911\overline{)18000}\\\end{array}
Since 1 is less than 911, use the next digit 8 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{911)}0\phantom{3}\\911\overline{)18000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 18000
\begin{array}{l}\phantom{911)}00\phantom{4}\\911\overline{)18000}\\\end{array}
Since 18 is less than 911, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{911)}00\phantom{5}\\911\overline{)18000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 18000
\begin{array}{l}\phantom{911)}000\phantom{6}\\911\overline{)18000}\\\end{array}
Since 180 is less than 911, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{911)}000\phantom{7}\\911\overline{)18000}\\\end{array}
Use the 4^{th} digit 0 from dividend 18000
\begin{array}{l}\phantom{911)}0001\phantom{8}\\911\overline{)18000}\\\phantom{911)}\underline{\phantom{9}911\phantom{9}}\\\phantom{911)9}889\\\end{array}
Find closest multiple of 911 to 1800. We see that 1 \times 911 = 911 is the nearest. Now subtract 911 from 1800 to get reminder 889. Add 1 to quotient.
\begin{array}{l}\phantom{911)}0001\phantom{9}\\911\overline{)18000}\\\phantom{911)}\underline{\phantom{9}911\phantom{9}}\\\phantom{911)9}8890\\\end{array}
Use the 5^{th} digit 0 from dividend 18000
\begin{array}{l}\phantom{911)}00019\phantom{10}\\911\overline{)18000}\\\phantom{911)}\underline{\phantom{9}911\phantom{9}}\\\phantom{911)9}8890\\\phantom{911)}\underline{\phantom{9}8199\phantom{}}\\\phantom{911)99}691\\\end{array}
Find closest multiple of 911 to 8890. We see that 9 \times 911 = 8199 is the nearest. Now subtract 8199 from 8890 to get reminder 691. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }691
Since 691 is less than 911, stop the division. The reminder is 691. The topmost line 00019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.
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}