Evaluate
\frac{7}{2}=3.5
Factor
\frac{7}{2} = 3\frac{1}{2} = 3.5
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)350}\\\end{array}
Use the 1^{st} digit 3 from dividend 350
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)350}\\\end{array}
Since 3 is less than 100, use the next digit 5 from dividend 350 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)350}\\\end{array}
Use the 2^{nd} digit 5 from dividend 350
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)350}\\\end{array}
Since 35 is less than 100, use the next digit 0 from dividend 350 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)350}\\\end{array}
Use the 3^{rd} digit 0 from dividend 350
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)350}\\\phantom{100)}\underline{\phantom{}300\phantom{}}\\\phantom{100)9}50\\\end{array}
Find closest multiple of 100 to 350. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 350 to get reminder 50. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }50
Since 50 is less than 100, stop the division. The reminder is 50. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}