Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{9216)}\phantom{1}\\9216\overline{)55296}\\\end{array}
Use the 1^{st} digit 5 from dividend 55296
\begin{array}{l}\phantom{9216)}0\phantom{2}\\9216\overline{)55296}\\\end{array}
Since 5 is less than 9216, use the next digit 5 from dividend 55296 and add 0 to the quotient
\begin{array}{l}\phantom{9216)}0\phantom{3}\\9216\overline{)55296}\\\end{array}
Use the 2^{nd} digit 5 from dividend 55296
\begin{array}{l}\phantom{9216)}00\phantom{4}\\9216\overline{)55296}\\\end{array}
Since 55 is less than 9216, use the next digit 2 from dividend 55296 and add 0 to the quotient
\begin{array}{l}\phantom{9216)}00\phantom{5}\\9216\overline{)55296}\\\end{array}
Use the 3^{rd} digit 2 from dividend 55296
\begin{array}{l}\phantom{9216)}000\phantom{6}\\9216\overline{)55296}\\\end{array}
Since 552 is less than 9216, use the next digit 9 from dividend 55296 and add 0 to the quotient
\begin{array}{l}\phantom{9216)}000\phantom{7}\\9216\overline{)55296}\\\end{array}
Use the 4^{th} digit 9 from dividend 55296
\begin{array}{l}\phantom{9216)}0000\phantom{8}\\9216\overline{)55296}\\\end{array}
Since 5529 is less than 9216, use the next digit 6 from dividend 55296 and add 0 to the quotient
\begin{array}{l}\phantom{9216)}0000\phantom{9}\\9216\overline{)55296}\\\end{array}
Use the 5^{th} digit 6 from dividend 55296
\begin{array}{l}\phantom{9216)}00006\phantom{10}\\9216\overline{)55296}\\\phantom{9216)}\underline{\phantom{}55296\phantom{}}\\\phantom{9216)99999}0\\\end{array}
Find closest multiple of 9216 to 55296. We see that 6 \times 9216 = 55296 is the nearest. Now subtract 55296 from 55296 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 9216, stop the division. The reminder is 0. The topmost line 00006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}