Evaluate
564
Factor
2^{2}\times 3\times 47
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\begin{array}{l}\phantom{333)}\phantom{1}\\333\overline{)187812}\\\end{array}
Use the 1^{st} digit 1 from dividend 187812
\begin{array}{l}\phantom{333)}0\phantom{2}\\333\overline{)187812}\\\end{array}
Since 1 is less than 333, use the next digit 8 from dividend 187812 and add 0 to the quotient
\begin{array}{l}\phantom{333)}0\phantom{3}\\333\overline{)187812}\\\end{array}
Use the 2^{nd} digit 8 from dividend 187812
\begin{array}{l}\phantom{333)}00\phantom{4}\\333\overline{)187812}\\\end{array}
Since 18 is less than 333, use the next digit 7 from dividend 187812 and add 0 to the quotient
\begin{array}{l}\phantom{333)}00\phantom{5}\\333\overline{)187812}\\\end{array}
Use the 3^{rd} digit 7 from dividend 187812
\begin{array}{l}\phantom{333)}000\phantom{6}\\333\overline{)187812}\\\end{array}
Since 187 is less than 333, use the next digit 8 from dividend 187812 and add 0 to the quotient
\begin{array}{l}\phantom{333)}000\phantom{7}\\333\overline{)187812}\\\end{array}
Use the 4^{th} digit 8 from dividend 187812
\begin{array}{l}\phantom{333)}0005\phantom{8}\\333\overline{)187812}\\\phantom{333)}\underline{\phantom{}1665\phantom{99}}\\\phantom{333)9}213\\\end{array}
Find closest multiple of 333 to 1878. We see that 5 \times 333 = 1665 is the nearest. Now subtract 1665 from 1878 to get reminder 213. Add 5 to quotient.
\begin{array}{l}\phantom{333)}0005\phantom{9}\\333\overline{)187812}\\\phantom{333)}\underline{\phantom{}1665\phantom{99}}\\\phantom{333)9}2131\\\end{array}
Use the 5^{th} digit 1 from dividend 187812
\begin{array}{l}\phantom{333)}00056\phantom{10}\\333\overline{)187812}\\\phantom{333)}\underline{\phantom{}1665\phantom{99}}\\\phantom{333)9}2131\\\phantom{333)}\underline{\phantom{9}1998\phantom{9}}\\\phantom{333)99}133\\\end{array}
Find closest multiple of 333 to 2131. We see that 6 \times 333 = 1998 is the nearest. Now subtract 1998 from 2131 to get reminder 133. Add 6 to quotient.
\begin{array}{l}\phantom{333)}00056\phantom{11}\\333\overline{)187812}\\\phantom{333)}\underline{\phantom{}1665\phantom{99}}\\\phantom{333)9}2131\\\phantom{333)}\underline{\phantom{9}1998\phantom{9}}\\\phantom{333)99}1332\\\end{array}
Use the 6^{th} digit 2 from dividend 187812
\begin{array}{l}\phantom{333)}000564\phantom{12}\\333\overline{)187812}\\\phantom{333)}\underline{\phantom{}1665\phantom{99}}\\\phantom{333)9}2131\\\phantom{333)}\underline{\phantom{9}1998\phantom{9}}\\\phantom{333)99}1332\\\phantom{333)}\underline{\phantom{99}1332\phantom{}}\\\phantom{333)999999}0\\\end{array}
Find closest multiple of 333 to 1332. We see that 4 \times 333 = 1332 is the nearest. Now subtract 1332 from 1332 to get reminder 0. Add 4 to quotient.
\text{Quotient: }564 \text{Reminder: }0
Since 0 is less than 333, stop the division. The reminder is 0. The topmost line 000564 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 564.
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}