400 \%
Evaluate
4
Factor
2^{2}
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)400}\\\end{array}
Use the 1^{st} digit 4 from dividend 400
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)400}\\\end{array}
Since 4 is less than 100, use the next digit 0 from dividend 400 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)400}\\\end{array}
Use the 2^{nd} digit 0 from dividend 400
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)400}\\\end{array}
Since 40 is less than 100, use the next digit 0 from dividend 400 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 400
\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)400}\\\phantom{100)}\underline{\phantom{}400\phantom{}}\\\phantom{100)999}0\\\end{array}
Find closest multiple of 100 to 400. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 400 to get reminder 0. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}