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\begin{array}{l}\phantom{441)}\phantom{1}\\441\overline{)441}\\\end{array}
Use the 1^{st} digit 4 from dividend 441
\begin{array}{l}\phantom{441)}0\phantom{2}\\441\overline{)441}\\\end{array}
Since 4 is less than 441, use the next digit 4 from dividend 441 and add 0 to the quotient
\begin{array}{l}\phantom{441)}0\phantom{3}\\441\overline{)441}\\\end{array}
Use the 2^{nd} digit 4 from dividend 441
\begin{array}{l}\phantom{441)}00\phantom{4}\\441\overline{)441}\\\end{array}
Since 44 is less than 441, use the next digit 1 from dividend 441 and add 0 to the quotient
\begin{array}{l}\phantom{441)}00\phantom{5}\\441\overline{)441}\\\end{array}
Use the 3^{rd} digit 1 from dividend 441
\begin{array}{l}\phantom{441)}001\phantom{6}\\441\overline{)441}\\\phantom{441)}\underline{\phantom{}441\phantom{}}\\\phantom{441)999}0\\\end{array}
Find closest multiple of 441 to 441. We see that 1 \times 441 = 441 is the nearest. Now subtract 441 from 441 to get reminder 0. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }0
Since 0 is less than 441, stop the division. The reminder is 0. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}