Evaluate
96
Factor
2^{5}\times 3
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)1920}\\\end{array}
Use the 1^{st} digit 1 from dividend 1920
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)1920}\\\end{array}
Since 1 is less than 20, use the next digit 9 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)1920}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1920
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)1920}\\\end{array}
Since 19 is less than 20, use the next digit 2 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)1920}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1920
\begin{array}{l}\phantom{20)}009\phantom{6}\\20\overline{)1920}\\\phantom{20)}\underline{\phantom{}180\phantom{9}}\\\phantom{20)9}12\\\end{array}
Find closest multiple of 20 to 192. We see that 9 \times 20 = 180 is the nearest. Now subtract 180 from 192 to get reminder 12. Add 9 to quotient.
\begin{array}{l}\phantom{20)}009\phantom{7}\\20\overline{)1920}\\\phantom{20)}\underline{\phantom{}180\phantom{9}}\\\phantom{20)9}120\\\end{array}
Use the 4^{th} digit 0 from dividend 1920
\begin{array}{l}\phantom{20)}0096\phantom{8}\\20\overline{)1920}\\\phantom{20)}\underline{\phantom{}180\phantom{9}}\\\phantom{20)9}120\\\phantom{20)}\underline{\phantom{9}120\phantom{}}\\\phantom{20)9999}0\\\end{array}
Find closest multiple of 20 to 120. We see that 6 \times 20 = 120 is the nearest. Now subtract 120 from 120 to get reminder 0. Add 6 to quotient.
\text{Quotient: }96 \text{Reminder: }0
Since 0 is less than 20, stop the division. The reminder is 0. The topmost line 0096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.
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}