Evaluate
\frac{26}{3}\approx 8.666666667
Factor
\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)130}\\\end{array}
Use the 1^{st} digit 1 from dividend 130
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)130}\\\end{array}
Since 1 is less than 15, use the next digit 3 from dividend 130 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)130}\\\end{array}
Use the 2^{nd} digit 3 from dividend 130
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)130}\\\end{array}
Since 13 is less than 15, use the next digit 0 from dividend 130 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)130}\\\end{array}
Use the 3^{rd} digit 0 from dividend 130
\begin{array}{l}\phantom{15)}008\phantom{6}\\15\overline{)130}\\\phantom{15)}\underline{\phantom{}120\phantom{}}\\\phantom{15)9}10\\\end{array}
Find closest multiple of 15 to 130. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 130 to get reminder 10. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }10
Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}