756 \%
Evaluate
\frac{189}{25}=7.56
Factor
\frac{3 ^ {3} \cdot 7}{5 ^ {2}} = 7\frac{14}{25} = 7.56
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)756}\\\end{array}
Use the 1^{st} digit 7 from dividend 756
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)756}\\\end{array}
Since 7 is less than 100, use the next digit 5 from dividend 756 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)756}\\\end{array}
Use the 2^{nd} digit 5 from dividend 756
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)756}\\\end{array}
Since 75 is less than 100, use the next digit 6 from dividend 756 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)756}\\\end{array}
Use the 3^{rd} digit 6 from dividend 756
\begin{array}{l}\phantom{100)}007\phantom{6}\\100\overline{)756}\\\phantom{100)}\underline{\phantom{}700\phantom{}}\\\phantom{100)9}56\\\end{array}
Find closest multiple of 100 to 756. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 756 to get reminder 56. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }56
Since 56 is less than 100, stop the division. The reminder is 56. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}