Evaluate
\frac{399}{40}=9.975
Factor
\frac{3 \cdot 7 \cdot 19}{2 ^ {3} \cdot 5} = 9\frac{39}{40} = 9.975
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)798}\\\end{array}
Use the 1^{st} digit 7 from dividend 798
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)798}\\\end{array}
Since 7 is less than 80, use the next digit 9 from dividend 798 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)798}\\\end{array}
Use the 2^{nd} digit 9 from dividend 798
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)798}\\\end{array}
Since 79 is less than 80, use the next digit 8 from dividend 798 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)798}\\\end{array}
Use the 3^{rd} digit 8 from dividend 798
\begin{array}{l}\phantom{80)}009\phantom{6}\\80\overline{)798}\\\phantom{80)}\underline{\phantom{}720\phantom{}}\\\phantom{80)9}78\\\end{array}
Find closest multiple of 80 to 798. We see that 9 \times 80 = 720 is the nearest. Now subtract 720 from 798 to get reminder 78. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }78
Since 78 is less than 80, stop the division. The reminder is 78. 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}