Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)992}\\\end{array}
Use the 1^{st} digit 9 from dividend 992
\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)992}\\\end{array}
Since 9 is less than 31, use the next digit 9 from dividend 992 and add 0 to the quotient
\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)992}\\\end{array}
Use the 2^{nd} digit 9 from dividend 992
\begin{array}{l}\phantom{31)}03\phantom{4}\\31\overline{)992}\\\phantom{31)}\underline{\phantom{}93\phantom{9}}\\\phantom{31)9}6\\\end{array}
Find closest multiple of 31 to 99. We see that 3 \times 31 = 93 is the nearest. Now subtract 93 from 99 to get reminder 6. Add 3 to quotient.
\begin{array}{l}\phantom{31)}03\phantom{5}\\31\overline{)992}\\\phantom{31)}\underline{\phantom{}93\phantom{9}}\\\phantom{31)9}62\\\end{array}
Use the 3^{rd} digit 2 from dividend 992
\begin{array}{l}\phantom{31)}032\phantom{6}\\31\overline{)992}\\\phantom{31)}\underline{\phantom{}93\phantom{9}}\\\phantom{31)9}62\\\phantom{31)}\underline{\phantom{9}62\phantom{}}\\\phantom{31)999}0\\\end{array}
Find closest multiple of 31 to 62. We see that 2 \times 31 = 62 is the nearest. Now subtract 62 from 62 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 31, stop the division. The reminder is 0. The topmost line 032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.
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}