Evaluate
\frac{257855}{248832}\approx 1.036261413
Factor
\frac{5 \cdot 13 \cdot 3967}{2 ^ {10} \cdot 3 ^ {5}} = 1\frac{9023}{248832} = 1.0362614133230452
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\begin{array}{l}\phantom{248832)}\phantom{1}\\248832\overline{)257855}\\\end{array}
Use the 1^{st} digit 2 from dividend 257855
\begin{array}{l}\phantom{248832)}0\phantom{2}\\248832\overline{)257855}\\\end{array}
Since 2 is less than 248832, use the next digit 5 from dividend 257855 and add 0 to the quotient
\begin{array}{l}\phantom{248832)}0\phantom{3}\\248832\overline{)257855}\\\end{array}
Use the 2^{nd} digit 5 from dividend 257855
\begin{array}{l}\phantom{248832)}00\phantom{4}\\248832\overline{)257855}\\\end{array}
Since 25 is less than 248832, use the next digit 7 from dividend 257855 and add 0 to the quotient
\begin{array}{l}\phantom{248832)}00\phantom{5}\\248832\overline{)257855}\\\end{array}
Use the 3^{rd} digit 7 from dividend 257855
\begin{array}{l}\phantom{248832)}000\phantom{6}\\248832\overline{)257855}\\\end{array}
Since 257 is less than 248832, use the next digit 8 from dividend 257855 and add 0 to the quotient
\begin{array}{l}\phantom{248832)}000\phantom{7}\\248832\overline{)257855}\\\end{array}
Use the 4^{th} digit 8 from dividend 257855
\begin{array}{l}\phantom{248832)}0000\phantom{8}\\248832\overline{)257855}\\\end{array}
Since 2578 is less than 248832, use the next digit 5 from dividend 257855 and add 0 to the quotient
\begin{array}{l}\phantom{248832)}0000\phantom{9}\\248832\overline{)257855}\\\end{array}
Use the 5^{th} digit 5 from dividend 257855
\begin{array}{l}\phantom{248832)}00000\phantom{10}\\248832\overline{)257855}\\\end{array}
Since 25785 is less than 248832, use the next digit 5 from dividend 257855 and add 0 to the quotient
\begin{array}{l}\phantom{248832)}00000\phantom{11}\\248832\overline{)257855}\\\end{array}
Use the 6^{th} digit 5 from dividend 257855
\begin{array}{l}\phantom{248832)}000001\phantom{12}\\248832\overline{)257855}\\\phantom{248832)}\underline{\phantom{}248832\phantom{}}\\\phantom{248832)99}9023\\\end{array}
Find closest multiple of 248832 to 257855. We see that 1 \times 248832 = 248832 is the nearest. Now subtract 248832 from 257855 to get reminder 9023. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }9023
Since 9023 is less than 248832, stop the division. The reminder is 9023. The topmost line 000001 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}