Evaluate
5
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5
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\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)95}\\\end{array}
Use the 1^{st} digit 9 from dividend 95
\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)95}\\\end{array}
Since 9 is less than 19, use the next digit 5 from dividend 95 and add 0 to the quotient
\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)95}\\\end{array}
Use the 2^{nd} digit 5 from dividend 95
\begin{array}{l}\phantom{19)}05\phantom{4}\\19\overline{)95}\\\phantom{19)}\underline{\phantom{}95\phantom{}}\\\phantom{19)99}0\\\end{array}
Find closest multiple of 19 to 95. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 95 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 05 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}