Evaluate
\frac{173}{13}\approx 13.307692308
Factor
\frac{173}{13} = 13\frac{4}{13} = 13.307692307692308
Share
Copied to clipboard
\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)865}\\\end{array}
Use the 1^{st} digit 8 from dividend 865
\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)865}\\\end{array}
Since 8 is less than 65, use the next digit 6 from dividend 865 and add 0 to the quotient
\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)865}\\\end{array}
Use the 2^{nd} digit 6 from dividend 865
\begin{array}{l}\phantom{65)}01\phantom{4}\\65\overline{)865}\\\phantom{65)}\underline{\phantom{}65\phantom{9}}\\\phantom{65)}21\\\end{array}
Find closest multiple of 65 to 86. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 86 to get reminder 21. Add 1 to quotient.
\begin{array}{l}\phantom{65)}01\phantom{5}\\65\overline{)865}\\\phantom{65)}\underline{\phantom{}65\phantom{9}}\\\phantom{65)}215\\\end{array}
Use the 3^{rd} digit 5 from dividend 865
\begin{array}{l}\phantom{65)}013\phantom{6}\\65\overline{)865}\\\phantom{65)}\underline{\phantom{}65\phantom{9}}\\\phantom{65)}215\\\phantom{65)}\underline{\phantom{}195\phantom{}}\\\phantom{65)9}20\\\end{array}
Find closest multiple of 65 to 215. We see that 3 \times 65 = 195 is the nearest. Now subtract 195 from 215 to get reminder 20. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }20
Since 20 is less than 65, stop the division. The reminder is 20. 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}