Evaluate
\frac{19}{15}\approx 1.266666667
Factor
\frac{19}{3 \cdot 5} = 1\frac{4}{15} = 1.2666666666666666
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)114}\\\end{array}
Use the 1^{st} digit 1 from dividend 114
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)114}\\\end{array}
Since 1 is less than 90, use the next digit 1 from dividend 114 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)114}\\\end{array}
Use the 2^{nd} digit 1 from dividend 114
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)114}\\\end{array}
Since 11 is less than 90, use the next digit 4 from dividend 114 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)114}\\\end{array}
Use the 3^{rd} digit 4 from dividend 114
\begin{array}{l}\phantom{90)}001\phantom{6}\\90\overline{)114}\\\phantom{90)}\underline{\phantom{9}90\phantom{}}\\\phantom{90)9}24\\\end{array}
Find closest multiple of 90 to 114. We see that 1 \times 90 = 90 is the nearest. Now subtract 90 from 114 to get reminder 24. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }24
Since 24 is less than 90, stop the division. The reminder is 24. The topmost line 001 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}