Evaluate
\frac{37}{4}=9.25
Factor
\frac{37}{2 ^ {2}} = 9\frac{1}{4} = 9.25
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\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)592}\\\end{array}
Use the 1^{st} digit 5 from dividend 592
\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)592}\\\end{array}
Since 5 is less than 64, use the next digit 9 from dividend 592 and add 0 to the quotient
\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)592}\\\end{array}
Use the 2^{nd} digit 9 from dividend 592
\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)592}\\\end{array}
Since 59 is less than 64, use the next digit 2 from dividend 592 and add 0 to the quotient
\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)592}\\\end{array}
Use the 3^{rd} digit 2 from dividend 592
\begin{array}{l}\phantom{64)}009\phantom{6}\\64\overline{)592}\\\phantom{64)}\underline{\phantom{}576\phantom{}}\\\phantom{64)9}16\\\end{array}
Find closest multiple of 64 to 592. We see that 9 \times 64 = 576 is the nearest. Now subtract 576 from 592 to get reminder 16. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }16
Since 16 is less than 64, stop the division. The reminder is 16. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}