Evaluate
6
Factor
2\times 3
Share
Copied to clipboard
\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)192}\\\end{array}
Use the 1^{st} digit 1 from dividend 192
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)192}\\\end{array}
Since 1 is less than 32, use the next digit 9 from dividend 192 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)192}\\\end{array}
Use the 2^{nd} digit 9 from dividend 192
\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)192}\\\end{array}
Since 19 is less than 32, use the next digit 2 from dividend 192 and add 0 to the quotient
\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)192}\\\end{array}
Use the 3^{rd} digit 2 from dividend 192
\begin{array}{l}\phantom{32)}006\phantom{6}\\32\overline{)192}\\\phantom{32)}\underline{\phantom{}192\phantom{}}\\\phantom{32)999}0\\\end{array}
Find closest multiple of 32 to 192. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 192 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 32, stop the division. The reminder is 0. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}