Evaluate
\frac{216}{5}=43.2
Factor
\frac{2 ^ {3} \cdot 3 ^ {3}}{5} = 43\frac{1}{5} = 43.2
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)432}\\\end{array}
Use the 1^{st} digit 4 from dividend 432
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)432}\\\end{array}
Since 4 is less than 10, use the next digit 3 from dividend 432 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)432}\\\end{array}
Use the 2^{nd} digit 3 from dividend 432
\begin{array}{l}\phantom{10)}04\phantom{4}\\10\overline{)432}\\\phantom{10)}\underline{\phantom{}40\phantom{9}}\\\phantom{10)9}3\\\end{array}
Find closest multiple of 10 to 43. We see that 4 \times 10 = 40 is the nearest. Now subtract 40 from 43 to get reminder 3. Add 4 to quotient.
\begin{array}{l}\phantom{10)}04\phantom{5}\\10\overline{)432}\\\phantom{10)}\underline{\phantom{}40\phantom{9}}\\\phantom{10)9}32\\\end{array}
Use the 3^{rd} digit 2 from dividend 432
\begin{array}{l}\phantom{10)}043\phantom{6}\\10\overline{)432}\\\phantom{10)}\underline{\phantom{}40\phantom{9}}\\\phantom{10)9}32\\\phantom{10)}\underline{\phantom{9}30\phantom{}}\\\phantom{10)99}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.
\text{Quotient: }43 \text{Reminder: }2
Since 2 is less than 10, stop the division. The reminder is 2. The topmost line 043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.
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}