Evaluate
\frac{347}{40}=8.675
Factor
\frac{347}{2 ^ {3} \cdot 5} = 8\frac{27}{40} = 8.675
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)347}\\\end{array}
Use the 1^{st} digit 3 from dividend 347
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)347}\\\end{array}
Since 3 is less than 40, use the next digit 4 from dividend 347 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)347}\\\end{array}
Use the 2^{nd} digit 4 from dividend 347
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)347}\\\end{array}
Since 34 is less than 40, use the next digit 7 from dividend 347 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)347}\\\end{array}
Use the 3^{rd} digit 7 from dividend 347
\begin{array}{l}\phantom{40)}008\phantom{6}\\40\overline{)347}\\\phantom{40)}\underline{\phantom{}320\phantom{}}\\\phantom{40)9}27\\\end{array}
Find closest multiple of 40 to 347. We see that 8 \times 40 = 320 is the nearest. Now subtract 320 from 347 to get reminder 27. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }27
Since 27 is less than 40, stop the division. The reminder is 27. 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}