Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)3200}\\\end{array}
Use the 1^{st} digit 3 from dividend 3200
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)3200}\\\end{array}
Since 3 is less than 100, use the next digit 2 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)3200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 3200
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)3200}\\\end{array}
Since 32 is less than 100, use the next digit 0 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)3200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3200
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)3200}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}20\\\end{array}
Find closest multiple of 100 to 320. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 320 to get reminder 20. Add 3 to quotient.
\begin{array}{l}\phantom{100)}003\phantom{7}\\100\overline{)3200}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}200\\\end{array}
Use the 4^{th} digit 0 from dividend 3200
\begin{array}{l}\phantom{100)}0032\phantom{8}\\100\overline{)3200}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}200\\\phantom{100)}\underline{\phantom{9}200\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 200. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 200 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0032 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}