Evaluate
\frac{18329}{60}\approx 305.483333333
Factor
\frac{18329}{2 ^ {2} \cdot 3 \cdot 5} = 305\frac{29}{60} = 305.48333333333335
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)18329}\\\end{array}
Use the 1^{st} digit 1 from dividend 18329
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)18329}\\\end{array}
Since 1 is less than 60, use the next digit 8 from dividend 18329 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)18329}\\\end{array}
Use the 2^{nd} digit 8 from dividend 18329
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)18329}\\\end{array}
Since 18 is less than 60, use the next digit 3 from dividend 18329 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)18329}\\\end{array}
Use the 3^{rd} digit 3 from dividend 18329
\begin{array}{l}\phantom{60)}003\phantom{6}\\60\overline{)18329}\\\phantom{60)}\underline{\phantom{}180\phantom{99}}\\\phantom{60)99}3\\\end{array}
Find closest multiple of 60 to 183. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 183 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{60)}003\phantom{7}\\60\overline{)18329}\\\phantom{60)}\underline{\phantom{}180\phantom{99}}\\\phantom{60)99}32\\\end{array}
Use the 4^{th} digit 2 from dividend 18329
\begin{array}{l}\phantom{60)}0030\phantom{8}\\60\overline{)18329}\\\phantom{60)}\underline{\phantom{}180\phantom{99}}\\\phantom{60)99}32\\\end{array}
Since 32 is less than 60, use the next digit 9 from dividend 18329 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0030\phantom{9}\\60\overline{)18329}\\\phantom{60)}\underline{\phantom{}180\phantom{99}}\\\phantom{60)99}329\\\end{array}
Use the 5^{th} digit 9 from dividend 18329
\begin{array}{l}\phantom{60)}00305\phantom{10}\\60\overline{)18329}\\\phantom{60)}\underline{\phantom{}180\phantom{99}}\\\phantom{60)99}329\\\phantom{60)}\underline{\phantom{99}300\phantom{}}\\\phantom{60)999}29\\\end{array}
Find closest multiple of 60 to 329. We see that 5 \times 60 = 300 is the nearest. Now subtract 300 from 329 to get reminder 29. Add 5 to quotient.
\text{Quotient: }305 \text{Reminder: }29
Since 29 is less than 60, stop the division. The reminder is 29. The topmost line 00305 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 305.
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}