Evaluate
1018
Factor
2\times 509
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)25450}\\\end{array}
Use the 1^{st} digit 2 from dividend 25450
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)25450}\\\end{array}
Since 2 is less than 25, use the next digit 5 from dividend 25450 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)25450}\\\end{array}
Use the 2^{nd} digit 5 from dividend 25450
\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}0\\\end{array}
Find closest multiple of 25 to 25. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 25 to get reminder 0. Add 1 to quotient.
\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}4\\\end{array}
Use the 3^{rd} digit 4 from dividend 25450
\begin{array}{l}\phantom{25)}010\phantom{6}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}4\\\end{array}
Since 4 is less than 25, use the next digit 5 from dividend 25450 and add 0 to the quotient
\begin{array}{l}\phantom{25)}010\phantom{7}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}45\\\end{array}
Use the 4^{th} digit 5 from dividend 25450
\begin{array}{l}\phantom{25)}0101\phantom{8}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}45\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)99}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)}0101\phantom{9}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}45\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)99}200\\\end{array}
Use the 5^{th} digit 0 from dividend 25450
\begin{array}{l}\phantom{25)}01018\phantom{10}\\25\overline{)25450}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}45\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)99}200\\\phantom{25)}\underline{\phantom{99}200\phantom{}}\\\phantom{25)99999}0\\\end{array}
Find closest multiple of 25 to 200. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 200 to get reminder 0. Add 8 to quotient.
\text{Quotient: }1018 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 01018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1018.
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}