Evaluate
\frac{307}{16}=19.1875
Factor
\frac{307}{2 ^ {4}} = 19\frac{3}{16} = 19.1875
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)921}\\\end{array}
Use the 1^{st} digit 9 from dividend 921
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)921}\\\end{array}
Since 9 is less than 48, use the next digit 2 from dividend 921 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)921}\\\end{array}
Use the 2^{nd} digit 2 from dividend 921
\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)921}\\\phantom{48)}\underline{\phantom{}48\phantom{9}}\\\phantom{48)}44\\\end{array}
Find closest multiple of 48 to 92. We see that 1 \times 48 = 48 is the nearest. Now subtract 48 from 92 to get reminder 44. Add 1 to quotient.
\begin{array}{l}\phantom{48)}01\phantom{5}\\48\overline{)921}\\\phantom{48)}\underline{\phantom{}48\phantom{9}}\\\phantom{48)}441\\\end{array}
Use the 3^{rd} digit 1 from dividend 921
\begin{array}{l}\phantom{48)}019\phantom{6}\\48\overline{)921}\\\phantom{48)}\underline{\phantom{}48\phantom{9}}\\\phantom{48)}441\\\phantom{48)}\underline{\phantom{}432\phantom{}}\\\phantom{48)99}9\\\end{array}
Find closest multiple of 48 to 441. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 441 to get reminder 9. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }9
Since 9 is less than 48, stop the division. The reminder is 9. 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}