Evaluate
\frac{140}{3}\approx 46.666666667
Factor
\frac{2 ^ {2} \cdot 5 \cdot 7}{3} = 46\frac{2}{3} = 46.666666666666664
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\begin{array}{l}\phantom{1800)}\phantom{1}\\1800\overline{)84000}\\\end{array}
Use the 1^{st} digit 8 from dividend 84000
\begin{array}{l}\phantom{1800)}0\phantom{2}\\1800\overline{)84000}\\\end{array}
Since 8 is less than 1800, use the next digit 4 from dividend 84000 and add 0 to the quotient
\begin{array}{l}\phantom{1800)}0\phantom{3}\\1800\overline{)84000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 84000
\begin{array}{l}\phantom{1800)}00\phantom{4}\\1800\overline{)84000}\\\end{array}
Since 84 is less than 1800, use the next digit 0 from dividend 84000 and add 0 to the quotient
\begin{array}{l}\phantom{1800)}00\phantom{5}\\1800\overline{)84000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 84000
\begin{array}{l}\phantom{1800)}000\phantom{6}\\1800\overline{)84000}\\\end{array}
Since 840 is less than 1800, use the next digit 0 from dividend 84000 and add 0 to the quotient
\begin{array}{l}\phantom{1800)}000\phantom{7}\\1800\overline{)84000}\\\end{array}
Use the 4^{th} digit 0 from dividend 84000
\begin{array}{l}\phantom{1800)}0004\phantom{8}\\1800\overline{)84000}\\\phantom{1800)}\underline{\phantom{}7200\phantom{9}}\\\phantom{1800)}1200\\\end{array}
Find closest multiple of 1800 to 8400. We see that 4 \times 1800 = 7200 is the nearest. Now subtract 7200 from 8400 to get reminder 1200. Add 4 to quotient.
\begin{array}{l}\phantom{1800)}0004\phantom{9}\\1800\overline{)84000}\\\phantom{1800)}\underline{\phantom{}7200\phantom{9}}\\\phantom{1800)}12000\\\end{array}
Use the 5^{th} digit 0 from dividend 84000
\begin{array}{l}\phantom{1800)}00046\phantom{10}\\1800\overline{)84000}\\\phantom{1800)}\underline{\phantom{}7200\phantom{9}}\\\phantom{1800)}12000\\\phantom{1800)}\underline{\phantom{}10800\phantom{}}\\\phantom{1800)9}1200\\\end{array}
Find closest multiple of 1800 to 12000. We see that 6 \times 1800 = 10800 is the nearest. Now subtract 10800 from 12000 to get reminder 1200. Add 6 to quotient.
\text{Quotient: }46 \text{Reminder: }1200
Since 1200 is less than 1800, stop the division. The reminder is 1200. The topmost line 00046 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 46.
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}