Evaluate
\frac{79}{8}=9.875
Factor
\frac{79}{2 ^ {3}} = 9\frac{7}{8} = 9.875
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)316}\\\end{array}
Use the 1^{st} digit 3 from dividend 316
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)316}\\\end{array}
Since 3 is less than 32, use the next digit 1 from dividend 316 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)316}\\\end{array}
Use the 2^{nd} digit 1 from dividend 316
\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)316}\\\end{array}
Since 31 is less than 32, use the next digit 6 from dividend 316 and add 0 to the quotient
\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)316}\\\end{array}
Use the 3^{rd} digit 6 from dividend 316
\begin{array}{l}\phantom{32)}009\phantom{6}\\32\overline{)316}\\\phantom{32)}\underline{\phantom{}288\phantom{}}\\\phantom{32)9}28\\\end{array}
Find closest multiple of 32 to 316. We see that 9 \times 32 = 288 is the nearest. Now subtract 288 from 316 to get reminder 28. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }28
Since 28 is less than 32, stop the division. The reminder is 28. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}