Evaluate
\frac{161192}{20953}\approx 7.693027251
Factor
\frac{2 ^ {3} \cdot 20149}{23 \cdot 911} = 7\frac{14521}{20953} = 7.69302725146757
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\begin{array}{l}\phantom{104765)}\phantom{1}\\104765\overline{)805960}\\\end{array}
Use the 1^{st} digit 8 from dividend 805960
\begin{array}{l}\phantom{104765)}0\phantom{2}\\104765\overline{)805960}\\\end{array}
Since 8 is less than 104765, use the next digit 0 from dividend 805960 and add 0 to the quotient
\begin{array}{l}\phantom{104765)}0\phantom{3}\\104765\overline{)805960}\\\end{array}
Use the 2^{nd} digit 0 from dividend 805960
\begin{array}{l}\phantom{104765)}00\phantom{4}\\104765\overline{)805960}\\\end{array}
Since 80 is less than 104765, use the next digit 5 from dividend 805960 and add 0 to the quotient
\begin{array}{l}\phantom{104765)}00\phantom{5}\\104765\overline{)805960}\\\end{array}
Use the 3^{rd} digit 5 from dividend 805960
\begin{array}{l}\phantom{104765)}000\phantom{6}\\104765\overline{)805960}\\\end{array}
Since 805 is less than 104765, use the next digit 9 from dividend 805960 and add 0 to the quotient
\begin{array}{l}\phantom{104765)}000\phantom{7}\\104765\overline{)805960}\\\end{array}
Use the 4^{th} digit 9 from dividend 805960
\begin{array}{l}\phantom{104765)}0000\phantom{8}\\104765\overline{)805960}\\\end{array}
Since 8059 is less than 104765, use the next digit 6 from dividend 805960 and add 0 to the quotient
\begin{array}{l}\phantom{104765)}0000\phantom{9}\\104765\overline{)805960}\\\end{array}
Use the 5^{th} digit 6 from dividend 805960
\begin{array}{l}\phantom{104765)}00000\phantom{10}\\104765\overline{)805960}\\\end{array}
Since 80596 is less than 104765, use the next digit 0 from dividend 805960 and add 0 to the quotient
\begin{array}{l}\phantom{104765)}00000\phantom{11}\\104765\overline{)805960}\\\end{array}
Use the 6^{th} digit 0 from dividend 805960
\begin{array}{l}\phantom{104765)}000007\phantom{12}\\104765\overline{)805960}\\\phantom{104765)}\underline{\phantom{}733355\phantom{}}\\\phantom{104765)9}72605\\\end{array}
Find closest multiple of 104765 to 805960. We see that 7 \times 104765 = 733355 is the nearest. Now subtract 733355 from 805960 to get reminder 72605. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }72605
Since 72605 is less than 104765, stop the division. The reminder is 72605. The topmost line 000007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}