Evaluate
7
Factor
7
Share
Copied to clipboard
\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)511}\\\end{array}
Use the 1^{st} digit 5 from dividend 511
\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)511}\\\end{array}
Since 5 is less than 73, use the next digit 1 from dividend 511 and add 0 to the quotient
\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)511}\\\end{array}
Use the 2^{nd} digit 1 from dividend 511
\begin{array}{l}\phantom{73)}00\phantom{4}\\73\overline{)511}\\\end{array}
Since 51 is less than 73, use the next digit 1 from dividend 511 and add 0 to the quotient
\begin{array}{l}\phantom{73)}00\phantom{5}\\73\overline{)511}\\\end{array}
Use the 3^{rd} digit 1 from dividend 511
\begin{array}{l}\phantom{73)}007\phantom{6}\\73\overline{)511}\\\phantom{73)}\underline{\phantom{}511\phantom{}}\\\phantom{73)999}0\\\end{array}
Find closest multiple of 73 to 511. We see that 7 \times 73 = 511 is the nearest. Now subtract 511 from 511 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 73, stop the division. The reminder is 0. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}