Evaluate
\frac{39}{2}=19.5
Factor
\frac{3 \cdot 13}{2} = 19\frac{1}{2} = 19.5
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)468}\\\end{array}
Use the 1^{st} digit 4 from dividend 468
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)468}\\\end{array}
Since 4 is less than 24, use the next digit 6 from dividend 468 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)468}\\\end{array}
Use the 2^{nd} digit 6 from dividend 468
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)468}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}22\\\end{array}
Find closest multiple of 24 to 46. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 46 to get reminder 22. Add 1 to quotient.
\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)468}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}228\\\end{array}
Use the 3^{rd} digit 8 from dividend 468
\begin{array}{l}\phantom{24)}019\phantom{6}\\24\overline{)468}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}228\\\phantom{24)}\underline{\phantom{}216\phantom{}}\\\phantom{24)9}12\\\end{array}
Find closest multiple of 24 to 228. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 228 to get reminder 12. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }12
Since 12 is less than 24, stop the division. The reminder is 12. The topmost line 019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.
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}