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\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)104}\\\end{array}
Use the 1^{st} digit 1 from dividend 104
\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)104}\\\end{array}
Since 1 is less than 52, use the next digit 0 from dividend 104 and add 0 to the quotient
\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)104}\\\end{array}
Use the 2^{nd} digit 0 from dividend 104
\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)104}\\\end{array}
Since 10 is less than 52, use the next digit 4 from dividend 104 and add 0 to the quotient
\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)104}\\\end{array}
Use the 3^{rd} digit 4 from dividend 104
\begin{array}{l}\phantom{52)}002\phantom{6}\\52\overline{)104}\\\phantom{52)}\underline{\phantom{}104\phantom{}}\\\phantom{52)999}0\\\end{array}
Find closest multiple of 52 to 104. We see that 2 \times 52 = 104 is the nearest. Now subtract 104 from 104 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 52, 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}