Evaluate
\frac{1067}{727}\approx 1.467675378
Factor
\frac{11 \cdot 97}{727} = 1\frac{340}{727} = 1.4676753782668501
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\begin{array}{l}\phantom{727)}\phantom{1}\\727\overline{)1067}\\\end{array}
Use the 1^{st} digit 1 from dividend 1067
\begin{array}{l}\phantom{727)}0\phantom{2}\\727\overline{)1067}\\\end{array}
Since 1 is less than 727, use the next digit 0 from dividend 1067 and add 0 to the quotient
\begin{array}{l}\phantom{727)}0\phantom{3}\\727\overline{)1067}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1067
\begin{array}{l}\phantom{727)}00\phantom{4}\\727\overline{)1067}\\\end{array}
Since 10 is less than 727, use the next digit 6 from dividend 1067 and add 0 to the quotient
\begin{array}{l}\phantom{727)}00\phantom{5}\\727\overline{)1067}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1067
\begin{array}{l}\phantom{727)}000\phantom{6}\\727\overline{)1067}\\\end{array}
Since 106 is less than 727, use the next digit 7 from dividend 1067 and add 0 to the quotient
\begin{array}{l}\phantom{727)}000\phantom{7}\\727\overline{)1067}\\\end{array}
Use the 4^{th} digit 7 from dividend 1067
\begin{array}{l}\phantom{727)}0001\phantom{8}\\727\overline{)1067}\\\phantom{727)}\underline{\phantom{9}727\phantom{}}\\\phantom{727)9}340\\\end{array}
Find closest multiple of 727 to 1067. We see that 1 \times 727 = 727 is the nearest. Now subtract 727 from 1067 to get reminder 340. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }340
Since 340 is less than 727, stop the division. The reminder is 340. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}