Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)1440}\\\end{array}
Use the 1^{st} digit 1 from dividend 1440
\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)1440}\\\end{array}
Since 1 is less than 180, use the next digit 4 from dividend 1440 and add 0 to the quotient
\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)1440}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1440
\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)1440}\\\end{array}
Since 14 is less than 180, use the next digit 4 from dividend 1440 and add 0 to the quotient
\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)1440}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1440
\begin{array}{l}\phantom{180)}000\phantom{6}\\180\overline{)1440}\\\end{array}
Since 144 is less than 180, use the next digit 0 from dividend 1440 and add 0 to the quotient
\begin{array}{l}\phantom{180)}000\phantom{7}\\180\overline{)1440}\\\end{array}
Use the 4^{th} digit 0 from dividend 1440
\begin{array}{l}\phantom{180)}0008\phantom{8}\\180\overline{)1440}\\\phantom{180)}\underline{\phantom{}1440\phantom{}}\\\phantom{180)9999}0\\\end{array}
Find closest multiple of 180 to 1440. We see that 8 \times 180 = 1440 is the nearest. Now subtract 1440 from 1440 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 180, stop the division. The reminder is 0. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}