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\begin{array}{l}\phantom{324)}\phantom{1}\\324\overline{)648}\\\end{array}
Use the 1^{st} digit 6 from dividend 648
\begin{array}{l}\phantom{324)}0\phantom{2}\\324\overline{)648}\\\end{array}
Since 6 is less than 324, use the next digit 4 from dividend 648 and add 0 to the quotient
\begin{array}{l}\phantom{324)}0\phantom{3}\\324\overline{)648}\\\end{array}
Use the 2^{nd} digit 4 from dividend 648
\begin{array}{l}\phantom{324)}00\phantom{4}\\324\overline{)648}\\\end{array}
Since 64 is less than 324, use the next digit 8 from dividend 648 and add 0 to the quotient
\begin{array}{l}\phantom{324)}00\phantom{5}\\324\overline{)648}\\\end{array}
Use the 3^{rd} digit 8 from dividend 648
\begin{array}{l}\phantom{324)}002\phantom{6}\\324\overline{)648}\\\phantom{324)}\underline{\phantom{}648\phantom{}}\\\phantom{324)999}0\\\end{array}
Find closest multiple of 324 to 648. We see that 2 \times 324 = 648 is the nearest. Now subtract 648 from 648 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 324, stop the division. The reminder is 0. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}