Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
Share
Copied to clipboard
\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)750}\\\end{array}
Use the 1^{st} digit 7 from dividend 750
\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)750}\\\end{array}
Since 7 is less than 500, use the next digit 5 from dividend 750 and add 0 to the quotient
\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)750}\\\end{array}
Use the 2^{nd} digit 5 from dividend 750
\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)750}\\\end{array}
Since 75 is less than 500, use the next digit 0 from dividend 750 and add 0 to the quotient
\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)750}\\\end{array}
Use the 3^{rd} digit 0 from dividend 750
\begin{array}{l}\phantom{500)}001\phantom{6}\\500\overline{)750}\\\phantom{500)}\underline{\phantom{}500\phantom{}}\\\phantom{500)}250\\\end{array}
Find closest multiple of 500 to 750. We see that 1 \times 500 = 500 is the nearest. Now subtract 500 from 750 to get reminder 250. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }250
Since 250 is less than 500, stop the division. The reminder is 250. The topmost line 001 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}