784 \%
Evaluate
\frac{196}{25}=7.84
Factor
\frac{2 ^ {2} \cdot 7 ^ {2}}{5 ^ {2}} = 7\frac{21}{25} = 7.84
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)784}\\\end{array}
Use the 1^{st} digit 7 from dividend 784
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)784}\\\end{array}
Since 7 is less than 100, use the next digit 8 from dividend 784 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)784}\\\end{array}
Use the 2^{nd} digit 8 from dividend 784
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)784}\\\end{array}
Since 78 is less than 100, use the next digit 4 from dividend 784 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)784}\\\end{array}
Use the 3^{rd} digit 4 from dividend 784
\begin{array}{l}\phantom{100)}007\phantom{6}\\100\overline{)784}\\\phantom{100)}\underline{\phantom{}700\phantom{}}\\\phantom{100)9}84\\\end{array}
Find closest multiple of 100 to 784. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 784 to get reminder 84. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }84
Since 84 is less than 100, stop the division. The reminder is 84. 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}