Evaluate
\frac{7}{6}\approx 1.166666667
Factor
\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667
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\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)210}\\\end{array}
Use the 1^{st} digit 2 from dividend 210
\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)210}\\\end{array}
Since 2 is less than 180, use the next digit 1 from dividend 210 and add 0 to the quotient
\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)210}\\\end{array}
Use the 2^{nd} digit 1 from dividend 210
\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)210}\\\end{array}
Since 21 is less than 180, use the next digit 0 from dividend 210 and add 0 to the quotient
\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)210}\\\end{array}
Use the 3^{rd} digit 0 from dividend 210
\begin{array}{l}\phantom{180)}001\phantom{6}\\180\overline{)210}\\\phantom{180)}\underline{\phantom{}180\phantom{}}\\\phantom{180)9}30\\\end{array}
Find closest multiple of 180 to 210. We see that 1 \times 180 = 180 is the nearest. Now subtract 180 from 210 to get reminder 30. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }30
Since 30 is less than 180, stop the division. The reminder is 30. 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}