Evaluate
48
Factor
2^{4}\times 3
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)576}\\\end{array}
Use the 1^{st} digit 5 from dividend 576
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)576}\\\end{array}
Since 5 is less than 12, use the next digit 7 from dividend 576 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)576}\\\end{array}
Use the 2^{nd} digit 7 from dividend 576
\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)576}\\\phantom{12)}\underline{\phantom{}48\phantom{9}}\\\phantom{12)9}9\\\end{array}
Find closest multiple of 12 to 57. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 57 to get reminder 9. Add 4 to quotient.
\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)576}\\\phantom{12)}\underline{\phantom{}48\phantom{9}}\\\phantom{12)9}96\\\end{array}
Use the 3^{rd} digit 6 from dividend 576
\begin{array}{l}\phantom{12)}048\phantom{6}\\12\overline{)576}\\\phantom{12)}\underline{\phantom{}48\phantom{9}}\\\phantom{12)9}96\\\phantom{12)}\underline{\phantom{9}96\phantom{}}\\\phantom{12)999}0\\\end{array}
Find closest multiple of 12 to 96. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 96 to get reminder 0. Add 8 to quotient.
\text{Quotient: }48 \text{Reminder: }0
Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 048 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 48.
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}