Evaluate
\frac{125}{9}\approx 13.888888889
Factor
\frac{5 ^ {3}}{3 ^ {2}} = 13\frac{8}{9} = 13.88888888888889
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)250}\\\end{array}
Use the 1^{st} digit 2 from dividend 250
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)250}\\\end{array}
Since 2 is less than 18, use the next digit 5 from dividend 250 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)250}\\\end{array}
Use the 2^{nd} digit 5 from dividend 250
\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)250}\\\phantom{18)}\underline{\phantom{}18\phantom{9}}\\\phantom{18)9}7\\\end{array}
Find closest multiple of 18 to 25. We see that 1 \times 18 = 18 is the nearest. Now subtract 18 from 25 to get reminder 7. Add 1 to quotient.
\begin{array}{l}\phantom{18)}01\phantom{5}\\18\overline{)250}\\\phantom{18)}\underline{\phantom{}18\phantom{9}}\\\phantom{18)9}70\\\end{array}
Use the 3^{rd} digit 0 from dividend 250
\begin{array}{l}\phantom{18)}013\phantom{6}\\18\overline{)250}\\\phantom{18)}\underline{\phantom{}18\phantom{9}}\\\phantom{18)9}70\\\phantom{18)}\underline{\phantom{9}54\phantom{}}\\\phantom{18)9}16\\\end{array}
Find closest multiple of 18 to 70. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 70 to get reminder 16. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }16
Since 16 is less than 18, stop the division. The reminder is 16. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}