Evaluate
\frac{43000}{3611}\approx 11.908058709
Factor
\frac{2 ^ {3} \cdot 5 ^ {3} \cdot 43}{23 \cdot 157} = 11\frac{3279}{3611} = 11.908058709498754
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\begin{array}{l}\phantom{18055)}\phantom{1}\\18055\overline{)215000}\\\end{array}
Use the 1^{st} digit 2 from dividend 215000
\begin{array}{l}\phantom{18055)}0\phantom{2}\\18055\overline{)215000}\\\end{array}
Since 2 is less than 18055, use the next digit 1 from dividend 215000 and add 0 to the quotient
\begin{array}{l}\phantom{18055)}0\phantom{3}\\18055\overline{)215000}\\\end{array}
Use the 2^{nd} digit 1 from dividend 215000
\begin{array}{l}\phantom{18055)}00\phantom{4}\\18055\overline{)215000}\\\end{array}
Since 21 is less than 18055, use the next digit 5 from dividend 215000 and add 0 to the quotient
\begin{array}{l}\phantom{18055)}00\phantom{5}\\18055\overline{)215000}\\\end{array}
Use the 3^{rd} digit 5 from dividend 215000
\begin{array}{l}\phantom{18055)}000\phantom{6}\\18055\overline{)215000}\\\end{array}
Since 215 is less than 18055, use the next digit 0 from dividend 215000 and add 0 to the quotient
\begin{array}{l}\phantom{18055)}000\phantom{7}\\18055\overline{)215000}\\\end{array}
Use the 4^{th} digit 0 from dividend 215000
\begin{array}{l}\phantom{18055)}0000\phantom{8}\\18055\overline{)215000}\\\end{array}
Since 2150 is less than 18055, use the next digit 0 from dividend 215000 and add 0 to the quotient
\begin{array}{l}\phantom{18055)}0000\phantom{9}\\18055\overline{)215000}\\\end{array}
Use the 5^{th} digit 0 from dividend 215000
\begin{array}{l}\phantom{18055)}00001\phantom{10}\\18055\overline{)215000}\\\phantom{18055)}\underline{\phantom{}18055\phantom{9}}\\\phantom{18055)9}3445\\\end{array}
Find closest multiple of 18055 to 21500. We see that 1 \times 18055 = 18055 is the nearest. Now subtract 18055 from 21500 to get reminder 3445. Add 1 to quotient.
\begin{array}{l}\phantom{18055)}00001\phantom{11}\\18055\overline{)215000}\\\phantom{18055)}\underline{\phantom{}18055\phantom{9}}\\\phantom{18055)9}34450\\\end{array}
Use the 6^{th} digit 0 from dividend 215000
\begin{array}{l}\phantom{18055)}000011\phantom{12}\\18055\overline{)215000}\\\phantom{18055)}\underline{\phantom{}18055\phantom{9}}\\\phantom{18055)9}34450\\\phantom{18055)}\underline{\phantom{9}18055\phantom{}}\\\phantom{18055)9}16395\\\end{array}
Find closest multiple of 18055 to 34450. We see that 1 \times 18055 = 18055 is the nearest. Now subtract 18055 from 34450 to get reminder 16395. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }16395
Since 16395 is less than 18055, stop the division. The reminder is 16395. The topmost line 000011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}