Evaluate
\frac{275}{182}\approx 1.510989011
Factor
\frac{5 ^ {2} \cdot 11}{2 \cdot 7 \cdot 13} = 1\frac{93}{182} = 1.510989010989011
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\begin{array}{l}\phantom{182)}\phantom{1}\\182\overline{)275}\\\end{array}
Use the 1^{st} digit 2 from dividend 275
\begin{array}{l}\phantom{182)}0\phantom{2}\\182\overline{)275}\\\end{array}
Since 2 is less than 182, use the next digit 7 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{182)}0\phantom{3}\\182\overline{)275}\\\end{array}
Use the 2^{nd} digit 7 from dividend 275
\begin{array}{l}\phantom{182)}00\phantom{4}\\182\overline{)275}\\\end{array}
Since 27 is less than 182, use the next digit 5 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{182)}00\phantom{5}\\182\overline{)275}\\\end{array}
Use the 3^{rd} digit 5 from dividend 275
\begin{array}{l}\phantom{182)}001\phantom{6}\\182\overline{)275}\\\phantom{182)}\underline{\phantom{}182\phantom{}}\\\phantom{182)9}93\\\end{array}
Find closest multiple of 182 to 275. We see that 1 \times 182 = 182 is the nearest. Now subtract 182 from 275 to get reminder 93. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }93
Since 93 is less than 182, stop the division. The reminder is 93. 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}