Evaluate
\frac{83820}{8429}\approx 9.944240123
Factor
\frac{2 ^ {2} \cdot 3 \cdot 5 \cdot 11 \cdot 127}{8429} = 9\frac{7959}{8429} = 9.944240123383556
Share
Copied to clipboard
\begin{array}{l}\phantom{8429)}\phantom{1}\\8429\overline{)83820}\\\end{array}
Use the 1^{st} digit 8 from dividend 83820
\begin{array}{l}\phantom{8429)}0\phantom{2}\\8429\overline{)83820}\\\end{array}
Since 8 is less than 8429, use the next digit 3 from dividend 83820 and add 0 to the quotient
\begin{array}{l}\phantom{8429)}0\phantom{3}\\8429\overline{)83820}\\\end{array}
Use the 2^{nd} digit 3 from dividend 83820
\begin{array}{l}\phantom{8429)}00\phantom{4}\\8429\overline{)83820}\\\end{array}
Since 83 is less than 8429, use the next digit 8 from dividend 83820 and add 0 to the quotient
\begin{array}{l}\phantom{8429)}00\phantom{5}\\8429\overline{)83820}\\\end{array}
Use the 3^{rd} digit 8 from dividend 83820
\begin{array}{l}\phantom{8429)}000\phantom{6}\\8429\overline{)83820}\\\end{array}
Since 838 is less than 8429, use the next digit 2 from dividend 83820 and add 0 to the quotient
\begin{array}{l}\phantom{8429)}000\phantom{7}\\8429\overline{)83820}\\\end{array}
Use the 4^{th} digit 2 from dividend 83820
\begin{array}{l}\phantom{8429)}0000\phantom{8}\\8429\overline{)83820}\\\end{array}
Since 8382 is less than 8429, use the next digit 0 from dividend 83820 and add 0 to the quotient
\begin{array}{l}\phantom{8429)}0000\phantom{9}\\8429\overline{)83820}\\\end{array}
Use the 5^{th} digit 0 from dividend 83820
\begin{array}{l}\phantom{8429)}00009\phantom{10}\\8429\overline{)83820}\\\phantom{8429)}\underline{\phantom{}75861\phantom{}}\\\phantom{8429)9}7959\\\end{array}
Find closest multiple of 8429 to 83820. We see that 9 \times 8429 = 75861 is the nearest. Now subtract 75861 from 83820 to get reminder 7959. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }7959
Since 7959 is less than 8429, stop the division. The reminder is 7959. The topmost line 00009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}