Evaluate
\frac{997}{32}=31.15625
Factor
\frac{997}{2 ^ {5}} = 31\frac{5}{32} = 31.15625
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)997}\\\end{array}
Use the 1^{st} digit 9 from dividend 997
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)997}\\\end{array}
Since 9 is less than 32, use the next digit 9 from dividend 997 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)997}\\\end{array}
Use the 2^{nd} digit 9 from dividend 997
\begin{array}{l}\phantom{32)}03\phantom{4}\\32\overline{)997}\\\phantom{32)}\underline{\phantom{}96\phantom{9}}\\\phantom{32)9}3\\\end{array}
Find closest multiple of 32 to 99. We see that 3 \times 32 = 96 is the nearest. Now subtract 96 from 99 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{32)}03\phantom{5}\\32\overline{)997}\\\phantom{32)}\underline{\phantom{}96\phantom{9}}\\\phantom{32)9}37\\\end{array}
Use the 3^{rd} digit 7 from dividend 997
\begin{array}{l}\phantom{32)}031\phantom{6}\\32\overline{)997}\\\phantom{32)}\underline{\phantom{}96\phantom{9}}\\\phantom{32)9}37\\\phantom{32)}\underline{\phantom{9}32\phantom{}}\\\phantom{32)99}5\\\end{array}
Find closest multiple of 32 to 37. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 37 to get reminder 5. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }5
Since 5 is less than 32, stop the division. The reminder is 5. The topmost line 031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}