Evaluate
\frac{4793}{9}\approx 532.555555556
Factor
\frac{4793}{3 ^ {2}} = 532\frac{5}{9} = 532.5555555555555
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)9586}\\\end{array}
Use the 1^{st} digit 9 from dividend 9586
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)9586}\\\end{array}
Since 9 is less than 18, use the next digit 5 from dividend 9586 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)9586}\\\end{array}
Use the 2^{nd} digit 5 from dividend 9586
\begin{array}{l}\phantom{18)}05\phantom{4}\\18\overline{)9586}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}5\\\end{array}
Find closest multiple of 18 to 95. We see that 5 \times 18 = 90 is the nearest. Now subtract 90 from 95 to get reminder 5. Add 5 to quotient.
\begin{array}{l}\phantom{18)}05\phantom{5}\\18\overline{)9586}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}58\\\end{array}
Use the 3^{rd} digit 8 from dividend 9586
\begin{array}{l}\phantom{18)}053\phantom{6}\\18\overline{)9586}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}58\\\phantom{18)}\underline{\phantom{9}54\phantom{9}}\\\phantom{18)99}4\\\end{array}
Find closest multiple of 18 to 58. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 58 to get reminder 4. Add 3 to quotient.
\begin{array}{l}\phantom{18)}053\phantom{7}\\18\overline{)9586}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}58\\\phantom{18)}\underline{\phantom{9}54\phantom{9}}\\\phantom{18)99}46\\\end{array}
Use the 4^{th} digit 6 from dividend 9586
\begin{array}{l}\phantom{18)}0532\phantom{8}\\18\overline{)9586}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}58\\\phantom{18)}\underline{\phantom{9}54\phantom{9}}\\\phantom{18)99}46\\\phantom{18)}\underline{\phantom{99}36\phantom{}}\\\phantom{18)99}10\\\end{array}
Find closest multiple of 18 to 46. We see that 2 \times 18 = 36 is the nearest. Now subtract 36 from 46 to get reminder 10. Add 2 to quotient.
\text{Quotient: }532 \text{Reminder: }10
Since 10 is less than 18, stop the division. The reminder is 10. The topmost line 0532 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 532.
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}