Evaluate
\frac{423}{100}=4.23
Factor
\frac{3 ^ {2} \cdot 47}{2 ^ {2} \cdot 5 ^ {2}} = 4\frac{23}{100} = 4.23
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)423}\\\end{array}
Use the 1^{st} digit 4 from dividend 423
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)423}\\\end{array}
Since 4 is less than 100, use the next digit 2 from dividend 423 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)423}\\\end{array}
Use the 2^{nd} digit 2 from dividend 423
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)423}\\\end{array}
Since 42 is less than 100, use the next digit 3 from dividend 423 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)423}\\\end{array}
Use the 3^{rd} digit 3 from dividend 423
\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)423}\\\phantom{100)}\underline{\phantom{}400\phantom{}}\\\phantom{100)9}23\\\end{array}
Find closest multiple of 100 to 423. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 423 to get reminder 23. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }23
Since 23 is less than 100, stop the division. The reminder is 23. 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}