Evaluate
5
Factor
5
Share
Copied to clipboard
\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)325}\\\end{array}
Use the 1^{st} digit 3 from dividend 325
\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)325}\\\end{array}
Since 3 is less than 65, use the next digit 2 from dividend 325 and add 0 to the quotient
\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)325}\\\end{array}
Use the 2^{nd} digit 2 from dividend 325
\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)325}\\\end{array}
Since 32 is less than 65, use the next digit 5 from dividend 325 and add 0 to the quotient
\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)325}\\\end{array}
Use the 3^{rd} digit 5 from dividend 325
\begin{array}{l}\phantom{65)}005\phantom{6}\\65\overline{)325}\\\phantom{65)}\underline{\phantom{}325\phantom{}}\\\phantom{65)999}0\\\end{array}
Find closest multiple of 65 to 325. We see that 5 \times 65 = 325 is the nearest. Now subtract 325 from 325 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 65, stop the division. The reminder is 0. 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}