Evaluate
\frac{2222}{63}\approx 35.26984127
Factor
\frac{2 \cdot 11 \cdot 101}{3 ^ {2} \cdot 7} = 35\frac{17}{63} = 35.26984126984127
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\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)2222}\\\end{array}
Use the 1^{st} digit 2 from dividend 2222
\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)2222}\\\end{array}
Since 2 is less than 63, use the next digit 2 from dividend 2222 and add 0 to the quotient
\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)2222}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2222
\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)2222}\\\end{array}
Since 22 is less than 63, use the next digit 2 from dividend 2222 and add 0 to the quotient
\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)2222}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2222
\begin{array}{l}\phantom{63)}003\phantom{6}\\63\overline{)2222}\\\phantom{63)}\underline{\phantom{}189\phantom{9}}\\\phantom{63)9}33\\\end{array}
Find closest multiple of 63 to 222. We see that 3 \times 63 = 189 is the nearest. Now subtract 189 from 222 to get reminder 33. Add 3 to quotient.
\begin{array}{l}\phantom{63)}003\phantom{7}\\63\overline{)2222}\\\phantom{63)}\underline{\phantom{}189\phantom{9}}\\\phantom{63)9}332\\\end{array}
Use the 4^{th} digit 2 from dividend 2222
\begin{array}{l}\phantom{63)}0035\phantom{8}\\63\overline{)2222}\\\phantom{63)}\underline{\phantom{}189\phantom{9}}\\\phantom{63)9}332\\\phantom{63)}\underline{\phantom{9}315\phantom{}}\\\phantom{63)99}17\\\end{array}
Find closest multiple of 63 to 332. We see that 5 \times 63 = 315 is the nearest. Now subtract 315 from 332 to get reminder 17. Add 5 to quotient.
\text{Quotient: }35 \text{Reminder: }17
Since 17 is less than 63, stop the division. The reminder is 17. The topmost line 0035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}