Evaluate
192
Factor
2^{6}\times 3
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)9600}\\\end{array}
Use the 1^{st} digit 9 from dividend 9600
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)9600}\\\end{array}
Since 9 is less than 50, use the next digit 6 from dividend 9600 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)9600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 9600
\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)9600}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}46\\\end{array}
Find closest multiple of 50 to 96. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 96 to get reminder 46. Add 1 to quotient.
\begin{array}{l}\phantom{50)}01\phantom{5}\\50\overline{)9600}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}460\\\end{array}
Use the 3^{rd} digit 0 from dividend 9600
\begin{array}{l}\phantom{50)}019\phantom{6}\\50\overline{)9600}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}460\\\phantom{50)}\underline{\phantom{}450\phantom{9}}\\\phantom{50)9}10\\\end{array}
Find closest multiple of 50 to 460. We see that 9 \times 50 = 450 is the nearest. Now subtract 450 from 460 to get reminder 10. Add 9 to quotient.
\begin{array}{l}\phantom{50)}019\phantom{7}\\50\overline{)9600}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}460\\\phantom{50)}\underline{\phantom{}450\phantom{9}}\\\phantom{50)9}100\\\end{array}
Use the 4^{th} digit 0 from dividend 9600
\begin{array}{l}\phantom{50)}0192\phantom{8}\\50\overline{)9600}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}460\\\phantom{50)}\underline{\phantom{}450\phantom{9}}\\\phantom{50)9}100\\\phantom{50)}\underline{\phantom{9}100\phantom{}}\\\phantom{50)9999}0\\\end{array}
Find closest multiple of 50 to 100. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 100 to get reminder 0. Add 2 to quotient.
\text{Quotient: }192 \text{Reminder: }0
Since 0 is less than 50, stop the division. The reminder is 0. The topmost line 0192 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 192.
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}