Evaluate
\frac{96}{5}=19.2
Factor
\frac{2 ^ {5} \cdot 3}{5} = 19\frac{1}{5} = 19.2
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1920}\\\end{array}
Use the 1^{st} digit 1 from dividend 1920
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1920}\\\end{array}
Since 1 is less than 100, use the next digit 9 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1920}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1920
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1920}\\\end{array}
Since 19 is less than 100, use the next digit 2 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1920}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1920
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1920}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}92\\\end{array}
Find closest multiple of 100 to 192. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 192 to get reminder 92. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1920}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}920\\\end{array}
Use the 4^{th} digit 0 from dividend 1920
\begin{array}{l}\phantom{100)}0019\phantom{8}\\100\overline{)1920}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}920\\\phantom{100)}\underline{\phantom{9}900\phantom{}}\\\phantom{100)99}20\\\end{array}
Find closest multiple of 100 to 920. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 920 to get reminder 20. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }20
Since 20 is less than 100, stop the division. The reminder is 20. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.
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}