Evaluate
\frac{4467}{1000}=4.467
Factor
\frac{3 \cdot 1489}{2 ^ {3} \cdot 5 ^ {3}} = 4\frac{467}{1000} = 4.467
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)4467}\\\end{array}
Use the 1^{st} digit 4 from dividend 4467
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)4467}\\\end{array}
Since 4 is less than 1000, use the next digit 4 from dividend 4467 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)4467}\\\end{array}
Use the 2^{nd} digit 4 from dividend 4467
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)4467}\\\end{array}
Since 44 is less than 1000, use the next digit 6 from dividend 4467 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)4467}\\\end{array}
Use the 3^{rd} digit 6 from dividend 4467
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)4467}\\\end{array}
Since 446 is less than 1000, use the next digit 7 from dividend 4467 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)4467}\\\end{array}
Use the 4^{th} digit 7 from dividend 4467
\begin{array}{l}\phantom{1000)}0004\phantom{8}\\1000\overline{)4467}\\\phantom{1000)}\underline{\phantom{}4000\phantom{}}\\\phantom{1000)9}467\\\end{array}
Find closest multiple of 1000 to 4467. We see that 4 \times 1000 = 4000 is the nearest. Now subtract 4000 from 4467 to get reminder 467. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }467
Since 467 is less than 1000, stop the division. The reminder is 467. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}