Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{800)}\phantom{1}\\800\overline{)19200}\\\end{array}
Use the 1^{st} digit 1 from dividend 19200
\begin{array}{l}\phantom{800)}0\phantom{2}\\800\overline{)19200}\\\end{array}
Since 1 is less than 800, use the next digit 9 from dividend 19200 and add 0 to the quotient
\begin{array}{l}\phantom{800)}0\phantom{3}\\800\overline{)19200}\\\end{array}
Use the 2^{nd} digit 9 from dividend 19200
\begin{array}{l}\phantom{800)}00\phantom{4}\\800\overline{)19200}\\\end{array}
Since 19 is less than 800, use the next digit 2 from dividend 19200 and add 0 to the quotient
\begin{array}{l}\phantom{800)}00\phantom{5}\\800\overline{)19200}\\\end{array}
Use the 3^{rd} digit 2 from dividend 19200
\begin{array}{l}\phantom{800)}000\phantom{6}\\800\overline{)19200}\\\end{array}
Since 192 is less than 800, use the next digit 0 from dividend 19200 and add 0 to the quotient
\begin{array}{l}\phantom{800)}000\phantom{7}\\800\overline{)19200}\\\end{array}
Use the 4^{th} digit 0 from dividend 19200
\begin{array}{l}\phantom{800)}0002\phantom{8}\\800\overline{)19200}\\\phantom{800)}\underline{\phantom{}1600\phantom{9}}\\\phantom{800)9}320\\\end{array}
Find closest multiple of 800 to 1920. We see that 2 \times 800 = 1600 is the nearest. Now subtract 1600 from 1920 to get reminder 320. Add 2 to quotient.
\begin{array}{l}\phantom{800)}0002\phantom{9}\\800\overline{)19200}\\\phantom{800)}\underline{\phantom{}1600\phantom{9}}\\\phantom{800)9}3200\\\end{array}
Use the 5^{th} digit 0 from dividend 19200
\begin{array}{l}\phantom{800)}00024\phantom{10}\\800\overline{)19200}\\\phantom{800)}\underline{\phantom{}1600\phantom{9}}\\\phantom{800)9}3200\\\phantom{800)}\underline{\phantom{9}3200\phantom{}}\\\phantom{800)99999}0\\\end{array}
Find closest multiple of 800 to 3200. We see that 4 \times 800 = 3200 is the nearest. Now subtract 3200 from 3200 to get reminder 0. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }0
Since 0 is less than 800, stop the division. The reminder is 0. The topmost line 00024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}