Evaluate
\frac{80365}{36}\approx 2232.361111111
Factor
\frac{5 \cdot 16073}{2 ^ {2} \cdot 3 ^ {2}} = 2232\frac{13}{36} = 2232.3611111111113
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\begin{array}{l}\phantom{252)}\phantom{1}\\252\overline{)562555}\\\end{array}
Use the 1^{st} digit 5 from dividend 562555
\begin{array}{l}\phantom{252)}0\phantom{2}\\252\overline{)562555}\\\end{array}
Since 5 is less than 252, use the next digit 6 from dividend 562555 and add 0 to the quotient
\begin{array}{l}\phantom{252)}0\phantom{3}\\252\overline{)562555}\\\end{array}
Use the 2^{nd} digit 6 from dividend 562555
\begin{array}{l}\phantom{252)}00\phantom{4}\\252\overline{)562555}\\\end{array}
Since 56 is less than 252, use the next digit 2 from dividend 562555 and add 0 to the quotient
\begin{array}{l}\phantom{252)}00\phantom{5}\\252\overline{)562555}\\\end{array}
Use the 3^{rd} digit 2 from dividend 562555
\begin{array}{l}\phantom{252)}002\phantom{6}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}58\\\end{array}
Find closest multiple of 252 to 562. We see that 2 \times 252 = 504 is the nearest. Now subtract 504 from 562 to get reminder 58. Add 2 to quotient.
\begin{array}{l}\phantom{252)}002\phantom{7}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}585\\\end{array}
Use the 4^{th} digit 5 from dividend 562555
\begin{array}{l}\phantom{252)}0022\phantom{8}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}585\\\phantom{252)}\underline{\phantom{9}504\phantom{99}}\\\phantom{252)99}81\\\end{array}
Find closest multiple of 252 to 585. We see that 2 \times 252 = 504 is the nearest. Now subtract 504 from 585 to get reminder 81. Add 2 to quotient.
\begin{array}{l}\phantom{252)}0022\phantom{9}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}585\\\phantom{252)}\underline{\phantom{9}504\phantom{99}}\\\phantom{252)99}815\\\end{array}
Use the 5^{th} digit 5 from dividend 562555
\begin{array}{l}\phantom{252)}00223\phantom{10}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}585\\\phantom{252)}\underline{\phantom{9}504\phantom{99}}\\\phantom{252)99}815\\\phantom{252)}\underline{\phantom{99}756\phantom{9}}\\\phantom{252)999}59\\\end{array}
Find closest multiple of 252 to 815. We see that 3 \times 252 = 756 is the nearest. Now subtract 756 from 815 to get reminder 59. Add 3 to quotient.
\begin{array}{l}\phantom{252)}00223\phantom{11}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}585\\\phantom{252)}\underline{\phantom{9}504\phantom{99}}\\\phantom{252)99}815\\\phantom{252)}\underline{\phantom{99}756\phantom{9}}\\\phantom{252)999}595\\\end{array}
Use the 6^{th} digit 5 from dividend 562555
\begin{array}{l}\phantom{252)}002232\phantom{12}\\252\overline{)562555}\\\phantom{252)}\underline{\phantom{}504\phantom{999}}\\\phantom{252)9}585\\\phantom{252)}\underline{\phantom{9}504\phantom{99}}\\\phantom{252)99}815\\\phantom{252)}\underline{\phantom{99}756\phantom{9}}\\\phantom{252)999}595\\\phantom{252)}\underline{\phantom{999}504\phantom{}}\\\phantom{252)9999}91\\\end{array}
Find closest multiple of 252 to 595. We see that 2 \times 252 = 504 is the nearest. Now subtract 504 from 595 to get reminder 91. Add 2 to quotient.
\text{Quotient: }2232 \text{Reminder: }91
Since 91 is less than 252, stop the division. The reminder is 91. The topmost line 002232 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2232.
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}