Evaluate
72
Factor
2^{3}\times 3^{2}
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)2880}\\\end{array}
Use the 1^{st} digit 2 from dividend 2880
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)2880}\\\end{array}
Since 2 is less than 40, use the next digit 8 from dividend 2880 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)2880}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2880
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)2880}\\\end{array}
Since 28 is less than 40, use the next digit 8 from dividend 2880 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)2880}\\\end{array}
Use the 3^{rd} digit 8 from dividend 2880
\begin{array}{l}\phantom{40)}007\phantom{6}\\40\overline{)2880}\\\phantom{40)}\underline{\phantom{}280\phantom{9}}\\\phantom{40)99}8\\\end{array}
Find closest multiple of 40 to 288. We see that 7 \times 40 = 280 is the nearest. Now subtract 280 from 288 to get reminder 8. Add 7 to quotient.
\begin{array}{l}\phantom{40)}007\phantom{7}\\40\overline{)2880}\\\phantom{40)}\underline{\phantom{}280\phantom{9}}\\\phantom{40)99}80\\\end{array}
Use the 4^{th} digit 0 from dividend 2880
\begin{array}{l}\phantom{40)}0072\phantom{8}\\40\overline{)2880}\\\phantom{40)}\underline{\phantom{}280\phantom{9}}\\\phantom{40)99}80\\\phantom{40)}\underline{\phantom{99}80\phantom{}}\\\phantom{40)9999}0\\\end{array}
Find closest multiple of 40 to 80. We see that 2 \times 40 = 80 is the nearest. Now subtract 80 from 80 to get reminder 0. Add 2 to quotient.
\text{Quotient: }72 \text{Reminder: }0
Since 0 is less than 40, stop the division. The reminder is 0. The topmost line 0072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 72.
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}