Evaluate
\frac{1230}{127}\approx 9.68503937
Factor
\frac{2 \cdot 3 \cdot 5 \cdot 41}{127} = 9\frac{87}{127} = 9.68503937007874
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\begin{array}{l}\phantom{254)}\phantom{1}\\254\overline{)2460}\\\end{array}
Use the 1^{st} digit 2 from dividend 2460
\begin{array}{l}\phantom{254)}0\phantom{2}\\254\overline{)2460}\\\end{array}
Since 2 is less than 254, use the next digit 4 from dividend 2460 and add 0 to the quotient
\begin{array}{l}\phantom{254)}0\phantom{3}\\254\overline{)2460}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2460
\begin{array}{l}\phantom{254)}00\phantom{4}\\254\overline{)2460}\\\end{array}
Since 24 is less than 254, use the next digit 6 from dividend 2460 and add 0 to the quotient
\begin{array}{l}\phantom{254)}00\phantom{5}\\254\overline{)2460}\\\end{array}
Use the 3^{rd} digit 6 from dividend 2460
\begin{array}{l}\phantom{254)}000\phantom{6}\\254\overline{)2460}\\\end{array}
Since 246 is less than 254, use the next digit 0 from dividend 2460 and add 0 to the quotient
\begin{array}{l}\phantom{254)}000\phantom{7}\\254\overline{)2460}\\\end{array}
Use the 4^{th} digit 0 from dividend 2460
\begin{array}{l}\phantom{254)}0009\phantom{8}\\254\overline{)2460}\\\phantom{254)}\underline{\phantom{}2286\phantom{}}\\\phantom{254)9}174\\\end{array}
Find closest multiple of 254 to 2460. We see that 9 \times 254 = 2286 is the nearest. Now subtract 2286 from 2460 to get reminder 174. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }174
Since 174 is less than 254, stop the division. The reminder is 174. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}