Evaluate
\frac{22572}{25}=902.88
Factor
\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 11 \cdot 19}{5 ^ {2}} = 902\frac{22}{25} = 902.88
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\begin{array}{l}\phantom{600)}\phantom{1}\\600\overline{)541728}\\\end{array}
Use the 1^{st} digit 5 from dividend 541728
\begin{array}{l}\phantom{600)}0\phantom{2}\\600\overline{)541728}\\\end{array}
Since 5 is less than 600, use the next digit 4 from dividend 541728 and add 0 to the quotient
\begin{array}{l}\phantom{600)}0\phantom{3}\\600\overline{)541728}\\\end{array}
Use the 2^{nd} digit 4 from dividend 541728
\begin{array}{l}\phantom{600)}00\phantom{4}\\600\overline{)541728}\\\end{array}
Since 54 is less than 600, use the next digit 1 from dividend 541728 and add 0 to the quotient
\begin{array}{l}\phantom{600)}00\phantom{5}\\600\overline{)541728}\\\end{array}
Use the 3^{rd} digit 1 from dividend 541728
\begin{array}{l}\phantom{600)}000\phantom{6}\\600\overline{)541728}\\\end{array}
Since 541 is less than 600, use the next digit 7 from dividend 541728 and add 0 to the quotient
\begin{array}{l}\phantom{600)}000\phantom{7}\\600\overline{)541728}\\\end{array}
Use the 4^{th} digit 7 from dividend 541728
\begin{array}{l}\phantom{600)}0009\phantom{8}\\600\overline{)541728}\\\phantom{600)}\underline{\phantom{}5400\phantom{99}}\\\phantom{600)99}17\\\end{array}
Find closest multiple of 600 to 5417. We see that 9 \times 600 = 5400 is the nearest. Now subtract 5400 from 5417 to get reminder 17. Add 9 to quotient.
\begin{array}{l}\phantom{600)}0009\phantom{9}\\600\overline{)541728}\\\phantom{600)}\underline{\phantom{}5400\phantom{99}}\\\phantom{600)99}172\\\end{array}
Use the 5^{th} digit 2 from dividend 541728
\begin{array}{l}\phantom{600)}00090\phantom{10}\\600\overline{)541728}\\\phantom{600)}\underline{\phantom{}5400\phantom{99}}\\\phantom{600)99}172\\\end{array}
Since 172 is less than 600, use the next digit 8 from dividend 541728 and add 0 to the quotient
\begin{array}{l}\phantom{600)}00090\phantom{11}\\600\overline{)541728}\\\phantom{600)}\underline{\phantom{}5400\phantom{99}}\\\phantom{600)99}1728\\\end{array}
Use the 6^{th} digit 8 from dividend 541728
\begin{array}{l}\phantom{600)}000902\phantom{12}\\600\overline{)541728}\\\phantom{600)}\underline{\phantom{}5400\phantom{99}}\\\phantom{600)99}1728\\\phantom{600)}\underline{\phantom{99}1200\phantom{}}\\\phantom{600)999}528\\\end{array}
Find closest multiple of 600 to 1728. We see that 2 \times 600 = 1200 is the nearest. Now subtract 1200 from 1728 to get reminder 528. Add 2 to quotient.
\text{Quotient: }902 \text{Reminder: }528
Since 528 is less than 600, stop the division. The reminder is 528. The topmost line 000902 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 902.
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}