Evaluate
82
Factor
2\times 41
Share
Copied to clipboard
\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)984}\\\end{array}
Use the 1^{st} digit 9 from dividend 984
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)984}\\\end{array}
Since 9 is less than 12, use the next digit 8 from dividend 984 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)984}\\\end{array}
Use the 2^{nd} digit 8 from dividend 984
\begin{array}{l}\phantom{12)}08\phantom{4}\\12\overline{)984}\\\phantom{12)}\underline{\phantom{}96\phantom{9}}\\\phantom{12)9}2\\\end{array}
Find closest multiple of 12 to 98. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 98 to get reminder 2. Add 8 to quotient.
\begin{array}{l}\phantom{12)}08\phantom{5}\\12\overline{)984}\\\phantom{12)}\underline{\phantom{}96\phantom{9}}\\\phantom{12)9}24\\\end{array}
Use the 3^{rd} digit 4 from dividend 984
\begin{array}{l}\phantom{12)}082\phantom{6}\\12\overline{)984}\\\phantom{12)}\underline{\phantom{}96\phantom{9}}\\\phantom{12)9}24\\\phantom{12)}\underline{\phantom{9}24\phantom{}}\\\phantom{12)999}0\\\end{array}
Find closest multiple of 12 to 24. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 24 to get reminder 0. Add 2 to quotient.
\text{Quotient: }82 \text{Reminder: }0
Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.
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}