Evaluate
\frac{50}{3}\approx 16.666666667
Factor
\frac{2 \cdot 5 ^ {2}}{3} = 16\frac{2}{3} = 16.666666666666668
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)400}\\\end{array}
Use the 1^{st} digit 4 from dividend 400
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)400}\\\end{array}
Since 4 is less than 24, use the next digit 0 from dividend 400 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)400}\\\end{array}
Use the 2^{nd} digit 0 from dividend 400
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)400}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}16\\\end{array}
Find closest multiple of 24 to 40. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 40 to get reminder 16. Add 1 to quotient.
\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)400}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}160\\\end{array}
Use the 3^{rd} digit 0 from dividend 400
\begin{array}{l}\phantom{24)}016\phantom{6}\\24\overline{)400}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}160\\\phantom{24)}\underline{\phantom{}144\phantom{}}\\\phantom{24)9}16\\\end{array}
Find closest multiple of 24 to 160. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 160 to get reminder 16. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }16
Since 16 is less than 24, stop the division. The reminder is 16. The topmost line 016 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}