Evaluate
\frac{181}{8}=22.625
Factor
\frac{181}{2 ^ {3}} = 22\frac{5}{8} = 22.625
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\begin{array}{l}\phantom{320)}\phantom{1}\\320\overline{)7240}\\\end{array}
Use the 1^{st} digit 7 from dividend 7240
\begin{array}{l}\phantom{320)}0\phantom{2}\\320\overline{)7240}\\\end{array}
Since 7 is less than 320, use the next digit 2 from dividend 7240 and add 0 to the quotient
\begin{array}{l}\phantom{320)}0\phantom{3}\\320\overline{)7240}\\\end{array}
Use the 2^{nd} digit 2 from dividend 7240
\begin{array}{l}\phantom{320)}00\phantom{4}\\320\overline{)7240}\\\end{array}
Since 72 is less than 320, use the next digit 4 from dividend 7240 and add 0 to the quotient
\begin{array}{l}\phantom{320)}00\phantom{5}\\320\overline{)7240}\\\end{array}
Use the 3^{rd} digit 4 from dividend 7240
\begin{array}{l}\phantom{320)}002\phantom{6}\\320\overline{)7240}\\\phantom{320)}\underline{\phantom{}640\phantom{9}}\\\phantom{320)9}84\\\end{array}
Find closest multiple of 320 to 724. We see that 2 \times 320 = 640 is the nearest. Now subtract 640 from 724 to get reminder 84. Add 2 to quotient.
\begin{array}{l}\phantom{320)}002\phantom{7}\\320\overline{)7240}\\\phantom{320)}\underline{\phantom{}640\phantom{9}}\\\phantom{320)9}840\\\end{array}
Use the 4^{th} digit 0 from dividend 7240
\begin{array}{l}\phantom{320)}0022\phantom{8}\\320\overline{)7240}\\\phantom{320)}\underline{\phantom{}640\phantom{9}}\\\phantom{320)9}840\\\phantom{320)}\underline{\phantom{9}640\phantom{}}\\\phantom{320)9}200\\\end{array}
Find closest multiple of 320 to 840. We see that 2 \times 320 = 640 is the nearest. Now subtract 640 from 840 to get reminder 200. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }200
Since 200 is less than 320, stop the division. The reminder is 200. The topmost line 0022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.
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}