Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{240)}\phantom{1}\\240\overline{)1920}\\\end{array}
Use the 1^{st} digit 1 from dividend 1920
\begin{array}{l}\phantom{240)}0\phantom{2}\\240\overline{)1920}\\\end{array}
Since 1 is less than 240, use the next digit 9 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{240)}0\phantom{3}\\240\overline{)1920}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1920
\begin{array}{l}\phantom{240)}00\phantom{4}\\240\overline{)1920}\\\end{array}
Since 19 is less than 240, use the next digit 2 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{240)}00\phantom{5}\\240\overline{)1920}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1920
\begin{array}{l}\phantom{240)}000\phantom{6}\\240\overline{)1920}\\\end{array}
Since 192 is less than 240, use the next digit 0 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{240)}000\phantom{7}\\240\overline{)1920}\\\end{array}
Use the 4^{th} digit 0 from dividend 1920
\begin{array}{l}\phantom{240)}0008\phantom{8}\\240\overline{)1920}\\\phantom{240)}\underline{\phantom{}1920\phantom{}}\\\phantom{240)9999}0\\\end{array}
Find closest multiple of 240 to 1920. We see that 8 \times 240 = 1920 is the nearest. Now subtract 1920 from 1920 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 240, 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}