2760 \%
Evaluate
\frac{138}{5}=27.6
Factor
\frac{2 \cdot 3 \cdot 23}{5} = 27\frac{3}{5} = 27.6
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)2760}\\\end{array}
Use the 1^{st} digit 2 from dividend 2760
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)2760}\\\end{array}
Since 2 is less than 100, use the next digit 7 from dividend 2760 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)2760}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2760
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)2760}\\\end{array}
Since 27 is less than 100, use the next digit 6 from dividend 2760 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)2760}\\\end{array}
Use the 3^{rd} digit 6 from dividend 2760
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)2760}\\\phantom{100)}\underline{\phantom{}200\phantom{9}}\\\phantom{100)9}76\\\end{array}
Find closest multiple of 100 to 276. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 276 to get reminder 76. Add 2 to quotient.
\begin{array}{l}\phantom{100)}002\phantom{7}\\100\overline{)2760}\\\phantom{100)}\underline{\phantom{}200\phantom{9}}\\\phantom{100)9}760\\\end{array}
Use the 4^{th} digit 0 from dividend 2760
\begin{array}{l}\phantom{100)}0027\phantom{8}\\100\overline{)2760}\\\phantom{100)}\underline{\phantom{}200\phantom{9}}\\\phantom{100)9}760\\\phantom{100)}\underline{\phantom{9}700\phantom{}}\\\phantom{100)99}60\\\end{array}
Find closest multiple of 100 to 760. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 760 to get reminder 60. Add 7 to quotient.
\text{Quotient: }27 \text{Reminder: }60
Since 60 is less than 100, stop the division. The reminder is 60. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.
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}