Evaluate
\frac{424}{279}\approx 1.519713262
Factor
\frac{2 ^ {3} \cdot 53}{3 ^ {2} \cdot 31} = 1\frac{145}{279} = 1.5197132616487454
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\begin{array}{l}\phantom{279)}\phantom{1}\\279\overline{)424}\\\end{array}
Use the 1^{st} digit 4 from dividend 424
\begin{array}{l}\phantom{279)}0\phantom{2}\\279\overline{)424}\\\end{array}
Since 4 is less than 279, use the next digit 2 from dividend 424 and add 0 to the quotient
\begin{array}{l}\phantom{279)}0\phantom{3}\\279\overline{)424}\\\end{array}
Use the 2^{nd} digit 2 from dividend 424
\begin{array}{l}\phantom{279)}00\phantom{4}\\279\overline{)424}\\\end{array}
Since 42 is less than 279, use the next digit 4 from dividend 424 and add 0 to the quotient
\begin{array}{l}\phantom{279)}00\phantom{5}\\279\overline{)424}\\\end{array}
Use the 3^{rd} digit 4 from dividend 424
\begin{array}{l}\phantom{279)}001\phantom{6}\\279\overline{)424}\\\phantom{279)}\underline{\phantom{}279\phantom{}}\\\phantom{279)}145\\\end{array}
Find closest multiple of 279 to 424. We see that 1 \times 279 = 279 is the nearest. Now subtract 279 from 424 to get reminder 145. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }145
Since 145 is less than 279, stop the division. The reminder is 145. 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}