Evaluate
\frac{26}{25}=1.04
Factor
\frac{2 \cdot 13}{5 ^ {2}} = 1\frac{1}{25} = 1.04
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\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)260}\\\end{array}
Use the 1^{st} digit 2 from dividend 260
\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)260}\\\end{array}
Since 2 is less than 250, use the next digit 6 from dividend 260 and add 0 to the quotient
\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)260}\\\end{array}
Use the 2^{nd} digit 6 from dividend 260
\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)260}\\\end{array}
Since 26 is less than 250, use the next digit 0 from dividend 260 and add 0 to the quotient
\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)260}\\\end{array}
Use the 3^{rd} digit 0 from dividend 260
\begin{array}{l}\phantom{250)}001\phantom{6}\\250\overline{)260}\\\phantom{250)}\underline{\phantom{}250\phantom{}}\\\phantom{250)9}10\\\end{array}
Find closest multiple of 250 to 260. We see that 1 \times 250 = 250 is the nearest. Now subtract 250 from 260 to get reminder 10. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }10
Since 10 is less than 250, stop the division. The reminder is 10. The topmost line 001 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}