Evaluate
\frac{691}{32}=21.59375
Factor
\frac{691}{2 ^ {5}} = 21\frac{19}{32} = 21.59375
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)691}\\\end{array}
Use the 1^{st} digit 6 from dividend 691
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)691}\\\end{array}
Since 6 is less than 32, use the next digit 9 from dividend 691 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)691}\\\end{array}
Use the 2^{nd} digit 9 from dividend 691
\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)691}\\\phantom{32)}\underline{\phantom{}64\phantom{9}}\\\phantom{32)9}5\\\end{array}
Find closest multiple of 32 to 69. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 69 to get reminder 5. Add 2 to quotient.
\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)691}\\\phantom{32)}\underline{\phantom{}64\phantom{9}}\\\phantom{32)9}51\\\end{array}
Use the 3^{rd} digit 1 from dividend 691
\begin{array}{l}\phantom{32)}021\phantom{6}\\32\overline{)691}\\\phantom{32)}\underline{\phantom{}64\phantom{9}}\\\phantom{32)9}51\\\phantom{32)}\underline{\phantom{9}32\phantom{}}\\\phantom{32)9}19\\\end{array}
Find closest multiple of 32 to 51. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 51 to get reminder 19. Add 1 to quotient.
\text{Quotient: }21 \text{Reminder: }19
Since 19 is less than 32, stop the division. The reminder is 19. The topmost line 021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.
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}