Evaluate
\frac{971}{192}\approx 5.057291667
Factor
\frac{971}{2 ^ {6} \cdot 3} = 5\frac{11}{192} = 5.057291666666667
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\begin{array}{l}\phantom{192)}\phantom{1}\\192\overline{)971}\\\end{array}
Use the 1^{st} digit 9 from dividend 971
\begin{array}{l}\phantom{192)}0\phantom{2}\\192\overline{)971}\\\end{array}
Since 9 is less than 192, use the next digit 7 from dividend 971 and add 0 to the quotient
\begin{array}{l}\phantom{192)}0\phantom{3}\\192\overline{)971}\\\end{array}
Use the 2^{nd} digit 7 from dividend 971
\begin{array}{l}\phantom{192)}00\phantom{4}\\192\overline{)971}\\\end{array}
Since 97 is less than 192, use the next digit 1 from dividend 971 and add 0 to the quotient
\begin{array}{l}\phantom{192)}00\phantom{5}\\192\overline{)971}\\\end{array}
Use the 3^{rd} digit 1 from dividend 971
\begin{array}{l}\phantom{192)}005\phantom{6}\\192\overline{)971}\\\phantom{192)}\underline{\phantom{}960\phantom{}}\\\phantom{192)9}11\\\end{array}
Find closest multiple of 192 to 971. We see that 5 \times 192 = 960 is the nearest. Now subtract 960 from 971 to get reminder 11. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }11
Since 11 is less than 192, stop the division. The reminder is 11. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}