Evaluate
\frac{37}{8}=4.625
Factor
\frac{37}{2 ^ {3}} = 4\frac{5}{8} = 4.625
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)111}\\\end{array}
Use the 1^{st} digit 1 from dividend 111
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)111}\\\end{array}
Since 1 is less than 24, use the next digit 1 from dividend 111 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)111}\\\end{array}
Use the 2^{nd} digit 1 from dividend 111
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)111}\\\end{array}
Since 11 is less than 24, use the next digit 1 from dividend 111 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)111}\\\end{array}
Use the 3^{rd} digit 1 from dividend 111
\begin{array}{l}\phantom{24)}004\phantom{6}\\24\overline{)111}\\\phantom{24)}\underline{\phantom{9}96\phantom{}}\\\phantom{24)9}15\\\end{array}
Find closest multiple of 24 to 111. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 111 to get reminder 15. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }15
Since 15 is less than 24, stop the division. The reminder is 15. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}