Evaluate
\frac{7}{5}=1.4
Factor
\frac{7}{5} = 1\frac{2}{5} = 1.4
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\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)210}\\\end{array}
Use the 1^{st} digit 2 from dividend 210
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)210}\\\end{array}
Since 2 is less than 150, use the next digit 1 from dividend 210 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)210}\\\end{array}
Use the 2^{nd} digit 1 from dividend 210
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)210}\\\end{array}
Since 21 is less than 150, use the next digit 0 from dividend 210 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)210}\\\end{array}
Use the 3^{rd} digit 0 from dividend 210
\begin{array}{l}\phantom{150)}001\phantom{6}\\150\overline{)210}\\\phantom{150)}\underline{\phantom{}150\phantom{}}\\\phantom{150)9}60\\\end{array}
Find closest multiple of 150 to 210. We see that 1 \times 150 = 150 is the nearest. Now subtract 150 from 210 to get reminder 60. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }60
Since 60 is less than 150, stop the division. The reminder is 60. 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}