Evaluate
\frac{632222}{273737}\approx 2.309596437
Factor
\frac{2 \cdot 283 \cdot 1117}{331 \cdot 827} = 2\frac{84748}{273737} = 2.3095964374563906
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\begin{array}{l}\phantom{273737)}\phantom{1}\\273737\overline{)632222}\\\end{array}
Use the 1^{st} digit 6 from dividend 632222
\begin{array}{l}\phantom{273737)}0\phantom{2}\\273737\overline{)632222}\\\end{array}
Since 6 is less than 273737, use the next digit 3 from dividend 632222 and add 0 to the quotient
\begin{array}{l}\phantom{273737)}0\phantom{3}\\273737\overline{)632222}\\\end{array}
Use the 2^{nd} digit 3 from dividend 632222
\begin{array}{l}\phantom{273737)}00\phantom{4}\\273737\overline{)632222}\\\end{array}
Since 63 is less than 273737, use the next digit 2 from dividend 632222 and add 0 to the quotient
\begin{array}{l}\phantom{273737)}00\phantom{5}\\273737\overline{)632222}\\\end{array}
Use the 3^{rd} digit 2 from dividend 632222
\begin{array}{l}\phantom{273737)}000\phantom{6}\\273737\overline{)632222}\\\end{array}
Since 632 is less than 273737, use the next digit 2 from dividend 632222 and add 0 to the quotient
\begin{array}{l}\phantom{273737)}000\phantom{7}\\273737\overline{)632222}\\\end{array}
Use the 4^{th} digit 2 from dividend 632222
\begin{array}{l}\phantom{273737)}0000\phantom{8}\\273737\overline{)632222}\\\end{array}
Since 6322 is less than 273737, use the next digit 2 from dividend 632222 and add 0 to the quotient
\begin{array}{l}\phantom{273737)}0000\phantom{9}\\273737\overline{)632222}\\\end{array}
Use the 5^{th} digit 2 from dividend 632222
\begin{array}{l}\phantom{273737)}00000\phantom{10}\\273737\overline{)632222}\\\end{array}
Since 63222 is less than 273737, use the next digit 2 from dividend 632222 and add 0 to the quotient
\begin{array}{l}\phantom{273737)}00000\phantom{11}\\273737\overline{)632222}\\\end{array}
Use the 6^{th} digit 2 from dividend 632222
\begin{array}{l}\phantom{273737)}000002\phantom{12}\\273737\overline{)632222}\\\phantom{273737)}\underline{\phantom{}547474\phantom{}}\\\phantom{273737)9}84748\\\end{array}
Find closest multiple of 273737 to 632222. We see that 2 \times 273737 = 547474 is the nearest. Now subtract 547474 from 632222 to get reminder 84748. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }84748
Since 84748 is less than 273737, stop the division. The reminder is 84748. The topmost line 000002 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}