Evaluate
\frac{19}{12}\approx 1.583333333
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)95}\\\end{array}
Use the 1^{st} digit 9 from dividend 95
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)95}\\\end{array}
Since 9 is less than 60, use the next digit 5 from dividend 95 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)95}\\\end{array}
Use the 2^{nd} digit 5 from dividend 95
\begin{array}{l}\phantom{60)}01\phantom{4}\\60\overline{)95}\\\phantom{60)}\underline{\phantom{}60\phantom{}}\\\phantom{60)}35\\\end{array}
Find closest multiple of 60 to 95. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 95 to get reminder 35. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }35
Since 35 is less than 60, stop the division. The reminder is 35. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}