Evaluate
\frac{19818}{383}\approx 51.744125326
Factor
\frac{2 \cdot 3 ^ {3} \cdot 367}{383} = 51\frac{285}{383} = 51.74412532637076
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\begin{array}{l}\phantom{383)}\phantom{1}\\383\overline{)19818}\\\end{array}
Use the 1^{st} digit 1 from dividend 19818
\begin{array}{l}\phantom{383)}0\phantom{2}\\383\overline{)19818}\\\end{array}
Since 1 is less than 383, use the next digit 9 from dividend 19818 and add 0 to the quotient
\begin{array}{l}\phantom{383)}0\phantom{3}\\383\overline{)19818}\\\end{array}
Use the 2^{nd} digit 9 from dividend 19818
\begin{array}{l}\phantom{383)}00\phantom{4}\\383\overline{)19818}\\\end{array}
Since 19 is less than 383, use the next digit 8 from dividend 19818 and add 0 to the quotient
\begin{array}{l}\phantom{383)}00\phantom{5}\\383\overline{)19818}\\\end{array}
Use the 3^{rd} digit 8 from dividend 19818
\begin{array}{l}\phantom{383)}000\phantom{6}\\383\overline{)19818}\\\end{array}
Since 198 is less than 383, use the next digit 1 from dividend 19818 and add 0 to the quotient
\begin{array}{l}\phantom{383)}000\phantom{7}\\383\overline{)19818}\\\end{array}
Use the 4^{th} digit 1 from dividend 19818
\begin{array}{l}\phantom{383)}0005\phantom{8}\\383\overline{)19818}\\\phantom{383)}\underline{\phantom{}1915\phantom{9}}\\\phantom{383)99}66\\\end{array}
Find closest multiple of 383 to 1981. We see that 5 \times 383 = 1915 is the nearest. Now subtract 1915 from 1981 to get reminder 66. Add 5 to quotient.
\begin{array}{l}\phantom{383)}0005\phantom{9}\\383\overline{)19818}\\\phantom{383)}\underline{\phantom{}1915\phantom{9}}\\\phantom{383)99}668\\\end{array}
Use the 5^{th} digit 8 from dividend 19818
\begin{array}{l}\phantom{383)}00051\phantom{10}\\383\overline{)19818}\\\phantom{383)}\underline{\phantom{}1915\phantom{9}}\\\phantom{383)99}668\\\phantom{383)}\underline{\phantom{99}383\phantom{}}\\\phantom{383)99}285\\\end{array}
Find closest multiple of 383 to 668. We see that 1 \times 383 = 383 is the nearest. Now subtract 383 from 668 to get reminder 285. Add 1 to quotient.
\text{Quotient: }51 \text{Reminder: }285
Since 285 is less than 383, stop the division. The reminder is 285. The topmost line 00051 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 51.
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}