Evaluate
48
Factor
2^{4}\times 3
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\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)2592}\\\end{array}
Use the 1^{st} digit 2 from dividend 2592
\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)2592}\\\end{array}
Since 2 is less than 54, use the next digit 5 from dividend 2592 and add 0 to the quotient
\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)2592}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2592
\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)2592}\\\end{array}
Since 25 is less than 54, use the next digit 9 from dividend 2592 and add 0 to the quotient
\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)2592}\\\end{array}
Use the 3^{rd} digit 9 from dividend 2592
\begin{array}{l}\phantom{54)}004\phantom{6}\\54\overline{)2592}\\\phantom{54)}\underline{\phantom{}216\phantom{9}}\\\phantom{54)9}43\\\end{array}
Find closest multiple of 54 to 259. We see that 4 \times 54 = 216 is the nearest. Now subtract 216 from 259 to get reminder 43. Add 4 to quotient.
\begin{array}{l}\phantom{54)}004\phantom{7}\\54\overline{)2592}\\\phantom{54)}\underline{\phantom{}216\phantom{9}}\\\phantom{54)9}432\\\end{array}
Use the 4^{th} digit 2 from dividend 2592
\begin{array}{l}\phantom{54)}0048\phantom{8}\\54\overline{)2592}\\\phantom{54)}\underline{\phantom{}216\phantom{9}}\\\phantom{54)9}432\\\phantom{54)}\underline{\phantom{9}432\phantom{}}\\\phantom{54)9999}0\\\end{array}
Find closest multiple of 54 to 432. We see that 8 \times 54 = 432 is the nearest. Now subtract 432 from 432 to get reminder 0. Add 8 to quotient.
\text{Quotient: }48 \text{Reminder: }0
Since 0 is less than 54, stop the division. The reminder is 0. The topmost line 0048 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}