Evaluate
\frac{47}{27}\approx 1.740740741
Factor
\frac{47}{3 ^ {3}} = 1\frac{20}{27} = 1.7407407407407407
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\begin{array}{l}\phantom{270)}\phantom{1}\\270\overline{)470}\\\end{array}
Use the 1^{st} digit 4 from dividend 470
\begin{array}{l}\phantom{270)}0\phantom{2}\\270\overline{)470}\\\end{array}
Since 4 is less than 270, use the next digit 7 from dividend 470 and add 0 to the quotient
\begin{array}{l}\phantom{270)}0\phantom{3}\\270\overline{)470}\\\end{array}
Use the 2^{nd} digit 7 from dividend 470
\begin{array}{l}\phantom{270)}00\phantom{4}\\270\overline{)470}\\\end{array}
Since 47 is less than 270, use the next digit 0 from dividend 470 and add 0 to the quotient
\begin{array}{l}\phantom{270)}00\phantom{5}\\270\overline{)470}\\\end{array}
Use the 3^{rd} digit 0 from dividend 470
\begin{array}{l}\phantom{270)}001\phantom{6}\\270\overline{)470}\\\phantom{270)}\underline{\phantom{}270\phantom{}}\\\phantom{270)}200\\\end{array}
Find closest multiple of 270 to 470. We see that 1 \times 270 = 270 is the nearest. Now subtract 270 from 470 to get reminder 200. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }200
Since 200 is less than 270, stop the division. The reminder is 200. 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}