Evaluate
\frac{131}{8}=16.375
Factor
\frac{131}{2 ^ {3}} = 16\frac{3}{8} = 16.375
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)524}\\\end{array}
Use the 1^{st} digit 5 from dividend 524
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)524}\\\end{array}
Since 5 is less than 32, use the next digit 2 from dividend 524 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)524}\\\end{array}
Use the 2^{nd} digit 2 from dividend 524
\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)524}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}20\\\end{array}
Find closest multiple of 32 to 52. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 52 to get reminder 20. Add 1 to quotient.
\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)524}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}204\\\end{array}
Use the 3^{rd} digit 4 from dividend 524
\begin{array}{l}\phantom{32)}016\phantom{6}\\32\overline{)524}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}204\\\phantom{32)}\underline{\phantom{}192\phantom{}}\\\phantom{32)9}12\\\end{array}
Find closest multiple of 32 to 204. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 204 to get reminder 12. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }12
Since 12 is less than 32, stop the division. The reminder is 12. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}