Evaluate
\frac{2484}{157}\approx 15.821656051
Factor
\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 23}{157} = 15\frac{129}{157} = 15.821656050955413
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\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)4968}\\\end{array}
Use the 1^{st} digit 4 from dividend 4968
\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)4968}\\\end{array}
Since 4 is less than 314, use the next digit 9 from dividend 4968 and add 0 to the quotient
\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)4968}\\\end{array}
Use the 2^{nd} digit 9 from dividend 4968
\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)4968}\\\end{array}
Since 49 is less than 314, use the next digit 6 from dividend 4968 and add 0 to the quotient
\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)4968}\\\end{array}
Use the 3^{rd} digit 6 from dividend 4968
\begin{array}{l}\phantom{314)}001\phantom{6}\\314\overline{)4968}\\\phantom{314)}\underline{\phantom{}314\phantom{9}}\\\phantom{314)}182\\\end{array}
Find closest multiple of 314 to 496. We see that 1 \times 314 = 314 is the nearest. Now subtract 314 from 496 to get reminder 182. Add 1 to quotient.
\begin{array}{l}\phantom{314)}001\phantom{7}\\314\overline{)4968}\\\phantom{314)}\underline{\phantom{}314\phantom{9}}\\\phantom{314)}1828\\\end{array}
Use the 4^{th} digit 8 from dividend 4968
\begin{array}{l}\phantom{314)}0015\phantom{8}\\314\overline{)4968}\\\phantom{314)}\underline{\phantom{}314\phantom{9}}\\\phantom{314)}1828\\\phantom{314)}\underline{\phantom{}1570\phantom{}}\\\phantom{314)9}258\\\end{array}
Find closest multiple of 314 to 1828. We see that 5 \times 314 = 1570 is the nearest. Now subtract 1570 from 1828 to get reminder 258. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }258
Since 258 is less than 314, stop the division. The reminder is 258. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}