Evaluate
192
Factor
2^{6}\times 3
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\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)12096}\\\end{array}
Use the 1^{st} digit 1 from dividend 12096
\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)12096}\\\end{array}
Since 1 is less than 63, use the next digit 2 from dividend 12096 and add 0 to the quotient
\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)12096}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12096
\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)12096}\\\end{array}
Since 12 is less than 63, use the next digit 0 from dividend 12096 and add 0 to the quotient
\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)12096}\\\end{array}
Use the 3^{rd} digit 0 from dividend 12096
\begin{array}{l}\phantom{63)}001\phantom{6}\\63\overline{)12096}\\\phantom{63)}\underline{\phantom{9}63\phantom{99}}\\\phantom{63)9}57\\\end{array}
Find closest multiple of 63 to 120. We see that 1 \times 63 = 63 is the nearest. Now subtract 63 from 120 to get reminder 57. Add 1 to quotient.
\begin{array}{l}\phantom{63)}001\phantom{7}\\63\overline{)12096}\\\phantom{63)}\underline{\phantom{9}63\phantom{99}}\\\phantom{63)9}579\\\end{array}
Use the 4^{th} digit 9 from dividend 12096
\begin{array}{l}\phantom{63)}0019\phantom{8}\\63\overline{)12096}\\\phantom{63)}\underline{\phantom{9}63\phantom{99}}\\\phantom{63)9}579\\\phantom{63)}\underline{\phantom{9}567\phantom{9}}\\\phantom{63)99}12\\\end{array}
Find closest multiple of 63 to 579. We see that 9 \times 63 = 567 is the nearest. Now subtract 567 from 579 to get reminder 12. Add 9 to quotient.
\begin{array}{l}\phantom{63)}0019\phantom{9}\\63\overline{)12096}\\\phantom{63)}\underline{\phantom{9}63\phantom{99}}\\\phantom{63)9}579\\\phantom{63)}\underline{\phantom{9}567\phantom{9}}\\\phantom{63)99}126\\\end{array}
Use the 5^{th} digit 6 from dividend 12096
\begin{array}{l}\phantom{63)}00192\phantom{10}\\63\overline{)12096}\\\phantom{63)}\underline{\phantom{9}63\phantom{99}}\\\phantom{63)9}579\\\phantom{63)}\underline{\phantom{9}567\phantom{9}}\\\phantom{63)99}126\\\phantom{63)}\underline{\phantom{99}126\phantom{}}\\\phantom{63)99999}0\\\end{array}
Find closest multiple of 63 to 126. We see that 2 \times 63 = 126 is the nearest. Now subtract 126 from 126 to get reminder 0. Add 2 to quotient.
\text{Quotient: }192 \text{Reminder: }0
Since 0 is less than 63, stop the division. The reminder is 0. The topmost line 00192 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}