Evaluate
\frac{250}{13}\approx 19.230769231
Factor
\frac{2 \cdot 5 ^ {3}}{13} = 19\frac{3}{13} = 19.23076923076923
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\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)1250}\\\end{array}
Use the 1^{st} digit 1 from dividend 1250
\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)1250}\\\end{array}
Since 1 is less than 65, use the next digit 2 from dividend 1250 and add 0 to the quotient
\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)1250}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1250
\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)1250}\\\end{array}
Since 12 is less than 65, use the next digit 5 from dividend 1250 and add 0 to the quotient
\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)1250}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1250
\begin{array}{l}\phantom{65)}001\phantom{6}\\65\overline{)1250}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}60\\\end{array}
Find closest multiple of 65 to 125. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 125 to get reminder 60. Add 1 to quotient.
\begin{array}{l}\phantom{65)}001\phantom{7}\\65\overline{)1250}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}600\\\end{array}
Use the 4^{th} digit 0 from dividend 1250
\begin{array}{l}\phantom{65)}0019\phantom{8}\\65\overline{)1250}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}600\\\phantom{65)}\underline{\phantom{9}585\phantom{}}\\\phantom{65)99}15\\\end{array}
Find closest multiple of 65 to 600. We see that 9 \times 65 = 585 is the nearest. Now subtract 585 from 600 to get reminder 15. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }15
Since 15 is less than 65, stop the division. The reminder is 15. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.
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}