Evaluate
\frac{47}{7}\approx 6.714285714
Factor
\frac{47}{7} = 6\frac{5}{7} = 6.714285714285714
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)94}\\\end{array}
Use the 1^{st} digit 9 from dividend 94
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)94}\\\end{array}
Since 9 is less than 14, use the next digit 4 from dividend 94 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)94}\\\end{array}
Use the 2^{nd} digit 4 from dividend 94
\begin{array}{l}\phantom{14)}06\phantom{4}\\14\overline{)94}\\\phantom{14)}\underline{\phantom{}84\phantom{}}\\\phantom{14)}10\\\end{array}
Find closest multiple of 14 to 94. We see that 6 \times 14 = 84 is the nearest. Now subtract 84 from 94 to get reminder 10. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }10
Since 10 is less than 14, stop the division. The reminder is 10. The topmost line 06 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}