Evaluate
\frac{483}{5}=96.6
Factor
\frac{3 \cdot 7 \cdot 23}{5} = 96\frac{3}{5} = 96.6
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)4830}\\\end{array}
Use the 1^{st} digit 4 from dividend 4830
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)4830}\\\end{array}
Since 4 is less than 50, use the next digit 8 from dividend 4830 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)4830}\\\end{array}
Use the 2^{nd} digit 8 from dividend 4830
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)4830}\\\end{array}
Since 48 is less than 50, use the next digit 3 from dividend 4830 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)4830}\\\end{array}
Use the 3^{rd} digit 3 from dividend 4830
\begin{array}{l}\phantom{50)}009\phantom{6}\\50\overline{)4830}\\\phantom{50)}\underline{\phantom{}450\phantom{9}}\\\phantom{50)9}33\\\end{array}
Find closest multiple of 50 to 483. We see that 9 \times 50 = 450 is the nearest. Now subtract 450 from 483 to get reminder 33. Add 9 to quotient.
\begin{array}{l}\phantom{50)}009\phantom{7}\\50\overline{)4830}\\\phantom{50)}\underline{\phantom{}450\phantom{9}}\\\phantom{50)9}330\\\end{array}
Use the 4^{th} digit 0 from dividend 4830
\begin{array}{l}\phantom{50)}0096\phantom{8}\\50\overline{)4830}\\\phantom{50)}\underline{\phantom{}450\phantom{9}}\\\phantom{50)9}330\\\phantom{50)}\underline{\phantom{9}300\phantom{}}\\\phantom{50)99}30\\\end{array}
Find closest multiple of 50 to 330. We see that 6 \times 50 = 300 is the nearest. Now subtract 300 from 330 to get reminder 30. Add 6 to quotient.
\text{Quotient: }96 \text{Reminder: }30
Since 30 is less than 50, stop the division. The reminder is 30. The topmost line 0096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.
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}