Evaluate
\frac{6580}{4919}\approx 1.337670258
Factor
\frac{2 ^ {2} \cdot 5 \cdot 7 \cdot 47}{4919} = 1\frac{1661}{4919} = 1.3376702581825575
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\begin{array}{l}\phantom{24595)}\phantom{1}\\24595\overline{)32900}\\\end{array}
Use the 1^{st} digit 3 from dividend 32900
\begin{array}{l}\phantom{24595)}0\phantom{2}\\24595\overline{)32900}\\\end{array}
Since 3 is less than 24595, use the next digit 2 from dividend 32900 and add 0 to the quotient
\begin{array}{l}\phantom{24595)}0\phantom{3}\\24595\overline{)32900}\\\end{array}
Use the 2^{nd} digit 2 from dividend 32900
\begin{array}{l}\phantom{24595)}00\phantom{4}\\24595\overline{)32900}\\\end{array}
Since 32 is less than 24595, use the next digit 9 from dividend 32900 and add 0 to the quotient
\begin{array}{l}\phantom{24595)}00\phantom{5}\\24595\overline{)32900}\\\end{array}
Use the 3^{rd} digit 9 from dividend 32900
\begin{array}{l}\phantom{24595)}000\phantom{6}\\24595\overline{)32900}\\\end{array}
Since 329 is less than 24595, use the next digit 0 from dividend 32900 and add 0 to the quotient
\begin{array}{l}\phantom{24595)}000\phantom{7}\\24595\overline{)32900}\\\end{array}
Use the 4^{th} digit 0 from dividend 32900
\begin{array}{l}\phantom{24595)}0000\phantom{8}\\24595\overline{)32900}\\\end{array}
Since 3290 is less than 24595, use the next digit 0 from dividend 32900 and add 0 to the quotient
\begin{array}{l}\phantom{24595)}0000\phantom{9}\\24595\overline{)32900}\\\end{array}
Use the 5^{th} digit 0 from dividend 32900
\begin{array}{l}\phantom{24595)}00001\phantom{10}\\24595\overline{)32900}\\\phantom{24595)}\underline{\phantom{}24595\phantom{}}\\\phantom{24595)9}8305\\\end{array}
Find closest multiple of 24595 to 32900. We see that 1 \times 24595 = 24595 is the nearest. Now subtract 24595 from 32900 to get reminder 8305. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }8305
Since 8305 is less than 24595, stop the division. The reminder is 8305. The topmost line 00001 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}