Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)384}\\\end{array}
Use the 1^{st} digit 3 from dividend 384
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)384}\\\end{array}
Since 3 is less than 12, use the next digit 8 from dividend 384 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)384}\\\end{array}
Use the 2^{nd} digit 8 from dividend 384
\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)384}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}2\\\end{array}
Find closest multiple of 12 to 38. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 38 to get reminder 2. Add 3 to quotient.
\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)384}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}24\\\end{array}
Use the 3^{rd} digit 4 from dividend 384
\begin{array}{l}\phantom{12)}032\phantom{6}\\12\overline{)384}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}24\\\phantom{12)}\underline{\phantom{9}24\phantom{}}\\\phantom{12)999}0\\\end{array}
Find closest multiple of 12 to 24. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 24 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 12, 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}