Evaluate
\frac{304}{249}\approx 1.220883534
Factor
\frac{2 ^ {4} \cdot 19}{3 \cdot 83} = 1\frac{55}{249} = 1.2208835341365463
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\begin{array}{l}\phantom{249)}\phantom{1}\\249\overline{)304}\\\end{array}
Use the 1^{st} digit 3 from dividend 304
\begin{array}{l}\phantom{249)}0\phantom{2}\\249\overline{)304}\\\end{array}
Since 3 is less than 249, use the next digit 0 from dividend 304 and add 0 to the quotient
\begin{array}{l}\phantom{249)}0\phantom{3}\\249\overline{)304}\\\end{array}
Use the 2^{nd} digit 0 from dividend 304
\begin{array}{l}\phantom{249)}00\phantom{4}\\249\overline{)304}\\\end{array}
Since 30 is less than 249, use the next digit 4 from dividend 304 and add 0 to the quotient
\begin{array}{l}\phantom{249)}00\phantom{5}\\249\overline{)304}\\\end{array}
Use the 3^{rd} digit 4 from dividend 304
\begin{array}{l}\phantom{249)}001\phantom{6}\\249\overline{)304}\\\phantom{249)}\underline{\phantom{}249\phantom{}}\\\phantom{249)9}55\\\end{array}
Find closest multiple of 249 to 304. We see that 1 \times 249 = 249 is the nearest. Now subtract 249 from 304 to get reminder 55. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }55
Since 55 is less than 249, stop the division. The reminder is 55. 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}