Evaluate
16
Factor
2^{4}
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\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)5024}\\\end{array}
Use the 1^{st} digit 5 from dividend 5024
\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)5024}\\\end{array}
Since 5 is less than 314, use the next digit 0 from dividend 5024 and add 0 to the quotient
\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)5024}\\\end{array}
Use the 2^{nd} digit 0 from dividend 5024
\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)5024}\\\end{array}
Since 50 is less than 314, use the next digit 2 from dividend 5024 and add 0 to the quotient
\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)5024}\\\end{array}
Use the 3^{rd} digit 2 from dividend 5024
\begin{array}{l}\phantom{314)}001\phantom{6}\\314\overline{)5024}\\\phantom{314)}\underline{\phantom{}314\phantom{9}}\\\phantom{314)}188\\\end{array}
Find closest multiple of 314 to 502. We see that 1 \times 314 = 314 is the nearest. Now subtract 314 from 502 to get reminder 188. Add 1 to quotient.
\begin{array}{l}\phantom{314)}001\phantom{7}\\314\overline{)5024}\\\phantom{314)}\underline{\phantom{}314\phantom{9}}\\\phantom{314)}1884\\\end{array}
Use the 4^{th} digit 4 from dividend 5024
\begin{array}{l}\phantom{314)}0016\phantom{8}\\314\overline{)5024}\\\phantom{314)}\underline{\phantom{}314\phantom{9}}\\\phantom{314)}1884\\\phantom{314)}\underline{\phantom{}1884\phantom{}}\\\phantom{314)9999}0\\\end{array}
Find closest multiple of 314 to 1884. We see that 6 \times 314 = 1884 is the nearest. Now subtract 1884 from 1884 to get reminder 0. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }0
Since 0 is less than 314, stop the division. The reminder is 0. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}