Evaluate
\frac{88711}{7326}\approx 12.109063609
Factor
\frac{7 \cdot 19 \cdot 23 \cdot 29}{2 \cdot 3 ^ {2} \cdot 11 \cdot 37} = 12\frac{799}{7326} = 12.10906360906361
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\begin{array}{l}\phantom{7326)}\phantom{1}\\7326\overline{)88711}\\\end{array}
Use the 1^{st} digit 8 from dividend 88711
\begin{array}{l}\phantom{7326)}0\phantom{2}\\7326\overline{)88711}\\\end{array}
Since 8 is less than 7326, use the next digit 8 from dividend 88711 and add 0 to the quotient
\begin{array}{l}\phantom{7326)}0\phantom{3}\\7326\overline{)88711}\\\end{array}
Use the 2^{nd} digit 8 from dividend 88711
\begin{array}{l}\phantom{7326)}00\phantom{4}\\7326\overline{)88711}\\\end{array}
Since 88 is less than 7326, use the next digit 7 from dividend 88711 and add 0 to the quotient
\begin{array}{l}\phantom{7326)}00\phantom{5}\\7326\overline{)88711}\\\end{array}
Use the 3^{rd} digit 7 from dividend 88711
\begin{array}{l}\phantom{7326)}000\phantom{6}\\7326\overline{)88711}\\\end{array}
Since 887 is less than 7326, use the next digit 1 from dividend 88711 and add 0 to the quotient
\begin{array}{l}\phantom{7326)}000\phantom{7}\\7326\overline{)88711}\\\end{array}
Use the 4^{th} digit 1 from dividend 88711
\begin{array}{l}\phantom{7326)}0001\phantom{8}\\7326\overline{)88711}\\\phantom{7326)}\underline{\phantom{}7326\phantom{9}}\\\phantom{7326)}1545\\\end{array}
Find closest multiple of 7326 to 8871. We see that 1 \times 7326 = 7326 is the nearest. Now subtract 7326 from 8871 to get reminder 1545. Add 1 to quotient.
\begin{array}{l}\phantom{7326)}0001\phantom{9}\\7326\overline{)88711}\\\phantom{7326)}\underline{\phantom{}7326\phantom{9}}\\\phantom{7326)}15451\\\end{array}
Use the 5^{th} digit 1 from dividend 88711
\begin{array}{l}\phantom{7326)}00012\phantom{10}\\7326\overline{)88711}\\\phantom{7326)}\underline{\phantom{}7326\phantom{9}}\\\phantom{7326)}15451\\\phantom{7326)}\underline{\phantom{}14652\phantom{}}\\\phantom{7326)99}799\\\end{array}
Find closest multiple of 7326 to 15451. We see that 2 \times 7326 = 14652 is the nearest. Now subtract 14652 from 15451 to get reminder 799. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }799
Since 799 is less than 7326, stop the division. The reminder is 799. The topmost line 00012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.
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}