Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)232}\\\end{array}
Use the 1^{st} digit 2 from dividend 232
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)232}\\\end{array}
Since 2 is less than 29, use the next digit 3 from dividend 232 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)232}\\\end{array}
Use the 2^{nd} digit 3 from dividend 232
\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)232}\\\end{array}
Since 23 is less than 29, use the next digit 2 from dividend 232 and add 0 to the quotient
\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)232}\\\end{array}
Use the 3^{rd} digit 2 from dividend 232
\begin{array}{l}\phantom{29)}008\phantom{6}\\29\overline{)232}\\\phantom{29)}\underline{\phantom{}232\phantom{}}\\\phantom{29)999}0\\\end{array}
Find closest multiple of 29 to 232. We see that 8 \times 29 = 232 is the nearest. Now subtract 232 from 232 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 29, stop the division. The reminder is 0. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}