Evaluate
\frac{452}{25}=18.08
Factor
\frac{2 ^ {2} \cdot 113}{5 ^ {2}} = 18\frac{2}{25} = 18.08
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)452}\\\end{array}
Use the 1^{st} digit 4 from dividend 452
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)452}\\\end{array}
Since 4 is less than 25, use the next digit 5 from dividend 452 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)452}\\\end{array}
Use the 2^{nd} digit 5 from dividend 452
\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)452}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}20\\\end{array}
Find closest multiple of 25 to 45. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 45 to get reminder 20. Add 1 to quotient.
\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)452}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}202\\\end{array}
Use the 3^{rd} digit 2 from dividend 452
\begin{array}{l}\phantom{25)}018\phantom{6}\\25\overline{)452}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}202\\\phantom{25)}\underline{\phantom{}200\phantom{}}\\\phantom{25)99}2\\\end{array}
Find closest multiple of 25 to 202. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 202 to get reminder 2. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }2
Since 2 is less than 25, stop the division. The reminder is 2. The topmost line 018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}