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\begin{array}{l}\phantom{222)}\phantom{1}\\222\overline{)222}\\\end{array}
Use the 1^{st} digit 2 from dividend 222
\begin{array}{l}\phantom{222)}0\phantom{2}\\222\overline{)222}\\\end{array}
Since 2 is less than 222, use the next digit 2 from dividend 222 and add 0 to the quotient
\begin{array}{l}\phantom{222)}0\phantom{3}\\222\overline{)222}\\\end{array}
Use the 2^{nd} digit 2 from dividend 222
\begin{array}{l}\phantom{222)}00\phantom{4}\\222\overline{)222}\\\end{array}
Since 22 is less than 222, use the next digit 2 from dividend 222 and add 0 to the quotient
\begin{array}{l}\phantom{222)}00\phantom{5}\\222\overline{)222}\\\end{array}
Use the 3^{rd} digit 2 from dividend 222
\begin{array}{l}\phantom{222)}001\phantom{6}\\222\overline{)222}\\\phantom{222)}\underline{\phantom{}222\phantom{}}\\\phantom{222)999}0\\\end{array}
Find closest multiple of 222 to 222. We see that 1 \times 222 = 222 is the nearest. Now subtract 222 from 222 to get reminder 0. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }0
Since 0 is less than 222, 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}