Evaluate
5
Factor
5
Share
Copied to clipboard
\begin{array}{l}\phantom{102)}\phantom{1}\\102\overline{)510}\\\end{array}
Use the 1^{st} digit 5 from dividend 510
\begin{array}{l}\phantom{102)}0\phantom{2}\\102\overline{)510}\\\end{array}
Since 5 is less than 102, use the next digit 1 from dividend 510 and add 0 to the quotient
\begin{array}{l}\phantom{102)}0\phantom{3}\\102\overline{)510}\\\end{array}
Use the 2^{nd} digit 1 from dividend 510
\begin{array}{l}\phantom{102)}00\phantom{4}\\102\overline{)510}\\\end{array}
Since 51 is less than 102, use the next digit 0 from dividend 510 and add 0 to the quotient
\begin{array}{l}\phantom{102)}00\phantom{5}\\102\overline{)510}\\\end{array}
Use the 3^{rd} digit 0 from dividend 510
\begin{array}{l}\phantom{102)}005\phantom{6}\\102\overline{)510}\\\phantom{102)}\underline{\phantom{}510\phantom{}}\\\phantom{102)999}0\\\end{array}
Find closest multiple of 102 to 510. We see that 5 \times 102 = 510 is the nearest. Now subtract 510 from 510 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 102, 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}