Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)4800}\\\end{array}
Use the 1^{st} digit 4 from dividend 4800
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)4800}\\\end{array}
Since 4 is less than 200, use the next digit 8 from dividend 4800 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)4800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 4800
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)4800}\\\end{array}
Since 48 is less than 200, use the next digit 0 from dividend 4800 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)4800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4800
\begin{array}{l}\phantom{200)}002\phantom{6}\\200\overline{)4800}\\\phantom{200)}\underline{\phantom{}400\phantom{9}}\\\phantom{200)9}80\\\end{array}
Find closest multiple of 200 to 480. We see that 2 \times 200 = 400 is the nearest. Now subtract 400 from 480 to get reminder 80. Add 2 to quotient.
\begin{array}{l}\phantom{200)}002\phantom{7}\\200\overline{)4800}\\\phantom{200)}\underline{\phantom{}400\phantom{9}}\\\phantom{200)9}800\\\end{array}
Use the 4^{th} digit 0 from dividend 4800
\begin{array}{l}\phantom{200)}0024\phantom{8}\\200\overline{)4800}\\\phantom{200)}\underline{\phantom{}400\phantom{9}}\\\phantom{200)9}800\\\phantom{200)}\underline{\phantom{9}800\phantom{}}\\\phantom{200)9999}0\\\end{array}
Find closest multiple of 200 to 800. We see that 4 \times 200 = 800 is the nearest. Now subtract 800 from 800 to get reminder 0. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }0
Since 0 is less than 200, stop the division. The reminder is 0. The topmost line 0024 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}