Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)320}\\\end{array}
Use the 1^{st} digit 3 from dividend 320
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)320}\\\end{array}
Since 3 is less than 10, use the next digit 2 from dividend 320 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)320}\\\end{array}
Use the 2^{nd} digit 2 from dividend 320
\begin{array}{l}\phantom{10)}03\phantom{4}\\10\overline{)320}\\\phantom{10)}\underline{\phantom{}30\phantom{9}}\\\phantom{10)9}2\\\end{array}
Find closest multiple of 10 to 32. We see that 3 \times 10 = 30 is the nearest. Now subtract 30 from 32 to get reminder 2. Add 3 to quotient.
\begin{array}{l}\phantom{10)}03\phantom{5}\\10\overline{)320}\\\phantom{10)}\underline{\phantom{}30\phantom{9}}\\\phantom{10)9}20\\\end{array}
Use the 3^{rd} digit 0 from dividend 320
\begin{array}{l}\phantom{10)}032\phantom{6}\\10\overline{)320}\\\phantom{10)}\underline{\phantom{}30\phantom{9}}\\\phantom{10)9}20\\\phantom{10)}\underline{\phantom{9}20\phantom{}}\\\phantom{10)999}0\\\end{array}
Find closest multiple of 10 to 20. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 20 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 10, 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}