Evaluate
\frac{15}{8}=1.875
Factor
\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)45}\\\end{array}
Use the 1^{st} digit 4 from dividend 45
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)45}\\\end{array}
Since 4 is less than 24, use the next digit 5 from dividend 45 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)45}\\\end{array}
Use the 2^{nd} digit 5 from dividend 45
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)45}\\\phantom{24)}\underline{\phantom{}24\phantom{}}\\\phantom{24)}21\\\end{array}
Find closest multiple of 24 to 45. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 45 to get reminder 21. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }21
Since 21 is less than 24, stop the division. The reminder is 21. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}