Evaluate
\frac{639}{100}=6.39
Factor
\frac{3 ^ {2} \cdot 71}{2 ^ {2} \cdot 5 ^ {2}} = 6\frac{39}{100} = 6.39
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)639}\\\end{array}
Use the 1^{st} digit 6 from dividend 639
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)639}\\\end{array}
Since 6 is less than 100, use the next digit 3 from dividend 639 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)639}\\\end{array}
Use the 2^{nd} digit 3 from dividend 639
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)639}\\\end{array}
Since 63 is less than 100, use the next digit 9 from dividend 639 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)639}\\\end{array}
Use the 3^{rd} digit 9 from dividend 639
\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)639}\\\phantom{100)}\underline{\phantom{}600\phantom{}}\\\phantom{100)9}39\\\end{array}
Find closest multiple of 100 to 639. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 639 to get reminder 39. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }39
Since 39 is less than 100, stop the division. The reminder is 39. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}