Evaluate
5
Factor
5
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\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)360}\\\end{array}
Use the 1^{st} digit 3 from dividend 360
\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)360}\\\end{array}
Since 3 is less than 72, use the next digit 6 from dividend 360 and add 0 to the quotient
\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)360}\\\end{array}
Use the 2^{nd} digit 6 from dividend 360
\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)360}\\\end{array}
Since 36 is less than 72, use the next digit 0 from dividend 360 and add 0 to the quotient
\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)360}\\\end{array}
Use the 3^{rd} digit 0 from dividend 360
\begin{array}{l}\phantom{72)}005\phantom{6}\\72\overline{)360}\\\phantom{72)}\underline{\phantom{}360\phantom{}}\\\phantom{72)999}0\\\end{array}
Find closest multiple of 72 to 360. We see that 5 \times 72 = 360 is the nearest. Now subtract 360 from 360 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 72, 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}