Evaluate
\frac{6}{5}=1.2
Factor
\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2
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\begin{array}{l}\phantom{350)}\phantom{1}\\350\overline{)420}\\\end{array}
Use the 1^{st} digit 4 from dividend 420
\begin{array}{l}\phantom{350)}0\phantom{2}\\350\overline{)420}\\\end{array}
Since 4 is less than 350, use the next digit 2 from dividend 420 and add 0 to the quotient
\begin{array}{l}\phantom{350)}0\phantom{3}\\350\overline{)420}\\\end{array}
Use the 2^{nd} digit 2 from dividend 420
\begin{array}{l}\phantom{350)}00\phantom{4}\\350\overline{)420}\\\end{array}
Since 42 is less than 350, use the next digit 0 from dividend 420 and add 0 to the quotient
\begin{array}{l}\phantom{350)}00\phantom{5}\\350\overline{)420}\\\end{array}
Use the 3^{rd} digit 0 from dividend 420
\begin{array}{l}\phantom{350)}001\phantom{6}\\350\overline{)420}\\\phantom{350)}\underline{\phantom{}350\phantom{}}\\\phantom{350)9}70\\\end{array}
Find closest multiple of 350 to 420. We see that 1 \times 350 = 350 is the nearest. Now subtract 350 from 420 to get reminder 70. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }70
Since 70 is less than 350, stop the division. The reminder is 70. 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}