Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)288}\\\end{array}
Use the 1^{st} digit 2 from dividend 288
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)288}\\\end{array}
Since 2 is less than 12, use the next digit 8 from dividend 288 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)288}\\\end{array}
Use the 2^{nd} digit 8 from dividend 288
\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)288}\\\phantom{12)}\underline{\phantom{}24\phantom{9}}\\\phantom{12)9}4\\\end{array}
Find closest multiple of 12 to 28. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 28 to get reminder 4. Add 2 to quotient.
\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)288}\\\phantom{12)}\underline{\phantom{}24\phantom{9}}\\\phantom{12)9}48\\\end{array}
Use the 3^{rd} digit 8 from dividend 288
\begin{array}{l}\phantom{12)}024\phantom{6}\\12\overline{)288}\\\phantom{12)}\underline{\phantom{}24\phantom{9}}\\\phantom{12)9}48\\\phantom{12)}\underline{\phantom{9}48\phantom{}}\\\phantom{12)999}0\\\end{array}
Find closest multiple of 12 to 48. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 48 to get reminder 0. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }0
Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 024 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}