Evaluate
\frac{9873}{9269}\approx 1.065163448
Factor
\frac{3 ^ {2} \cdot 1097}{13 \cdot 23 \cdot 31} = 1\frac{604}{9269} = 1.0651634480526486
Share
Copied to clipboard
\begin{array}{l}\phantom{9269)}\phantom{1}\\9269\overline{)9873}\\\end{array}
Use the 1^{st} digit 9 from dividend 9873
\begin{array}{l}\phantom{9269)}0\phantom{2}\\9269\overline{)9873}\\\end{array}
Since 9 is less than 9269, use the next digit 8 from dividend 9873 and add 0 to the quotient
\begin{array}{l}\phantom{9269)}0\phantom{3}\\9269\overline{)9873}\\\end{array}
Use the 2^{nd} digit 8 from dividend 9873
\begin{array}{l}\phantom{9269)}00\phantom{4}\\9269\overline{)9873}\\\end{array}
Since 98 is less than 9269, use the next digit 7 from dividend 9873 and add 0 to the quotient
\begin{array}{l}\phantom{9269)}00\phantom{5}\\9269\overline{)9873}\\\end{array}
Use the 3^{rd} digit 7 from dividend 9873
\begin{array}{l}\phantom{9269)}000\phantom{6}\\9269\overline{)9873}\\\end{array}
Since 987 is less than 9269, use the next digit 3 from dividend 9873 and add 0 to the quotient
\begin{array}{l}\phantom{9269)}000\phantom{7}\\9269\overline{)9873}\\\end{array}
Use the 4^{th} digit 3 from dividend 9873
\begin{array}{l}\phantom{9269)}0001\phantom{8}\\9269\overline{)9873}\\\phantom{9269)}\underline{\phantom{}9269\phantom{}}\\\phantom{9269)9}604\\\end{array}
Find closest multiple of 9269 to 9873. We see that 1 \times 9269 = 9269 is the nearest. Now subtract 9269 from 9873 to get reminder 604. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }604
Since 604 is less than 9269, stop the division. The reminder is 604. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}