Evaluate
\frac{41}{25}=1.64
Factor
\frac{41}{5 ^ {2}} = 1\frac{16}{25} = 1.64
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\begin{array}{l}\phantom{35950)}\phantom{1}\\35950\overline{)58958}\\\end{array}
Use the 1^{st} digit 5 from dividend 58958
\begin{array}{l}\phantom{35950)}0\phantom{2}\\35950\overline{)58958}\\\end{array}
Since 5 is less than 35950, use the next digit 8 from dividend 58958 and add 0 to the quotient
\begin{array}{l}\phantom{35950)}0\phantom{3}\\35950\overline{)58958}\\\end{array}
Use the 2^{nd} digit 8 from dividend 58958
\begin{array}{l}\phantom{35950)}00\phantom{4}\\35950\overline{)58958}\\\end{array}
Since 58 is less than 35950, use the next digit 9 from dividend 58958 and add 0 to the quotient
\begin{array}{l}\phantom{35950)}00\phantom{5}\\35950\overline{)58958}\\\end{array}
Use the 3^{rd} digit 9 from dividend 58958
\begin{array}{l}\phantom{35950)}000\phantom{6}\\35950\overline{)58958}\\\end{array}
Since 589 is less than 35950, use the next digit 5 from dividend 58958 and add 0 to the quotient
\begin{array}{l}\phantom{35950)}000\phantom{7}\\35950\overline{)58958}\\\end{array}
Use the 4^{th} digit 5 from dividend 58958
\begin{array}{l}\phantom{35950)}0000\phantom{8}\\35950\overline{)58958}\\\end{array}
Since 5895 is less than 35950, use the next digit 8 from dividend 58958 and add 0 to the quotient
\begin{array}{l}\phantom{35950)}0000\phantom{9}\\35950\overline{)58958}\\\end{array}
Use the 5^{th} digit 8 from dividend 58958
\begin{array}{l}\phantom{35950)}00001\phantom{10}\\35950\overline{)58958}\\\phantom{35950)}\underline{\phantom{}35950\phantom{}}\\\phantom{35950)}23008\\\end{array}
Find closest multiple of 35950 to 58958. We see that 1 \times 35950 = 35950 is the nearest. Now subtract 35950 from 58958 to get reminder 23008. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }23008
Since 23008 is less than 35950, stop the division. The reminder is 23008. 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}