Evaluate
25
Factor
5^{2}
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)3125}\\\end{array}
Use the 1^{st} digit 3 from dividend 3125
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)3125}\\\end{array}
Since 3 is less than 125, use the next digit 1 from dividend 3125 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)3125}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3125
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)3125}\\\end{array}
Since 31 is less than 125, use the next digit 2 from dividend 3125 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)3125}\\\end{array}
Use the 3^{rd} digit 2 from dividend 3125
\begin{array}{l}\phantom{125)}002\phantom{6}\\125\overline{)3125}\\\phantom{125)}\underline{\phantom{}250\phantom{9}}\\\phantom{125)9}62\\\end{array}
Find closest multiple of 125 to 312. We see that 2 \times 125 = 250 is the nearest. Now subtract 250 from 312 to get reminder 62. Add 2 to quotient.
\begin{array}{l}\phantom{125)}002\phantom{7}\\125\overline{)3125}\\\phantom{125)}\underline{\phantom{}250\phantom{9}}\\\phantom{125)9}625\\\end{array}
Use the 4^{th} digit 5 from dividend 3125
\begin{array}{l}\phantom{125)}0025\phantom{8}\\125\overline{)3125}\\\phantom{125)}\underline{\phantom{}250\phantom{9}}\\\phantom{125)9}625\\\phantom{125)}\underline{\phantom{9}625\phantom{}}\\\phantom{125)9999}0\\\end{array}
Find closest multiple of 125 to 625. We see that 5 \times 125 = 625 is the nearest. Now subtract 625 from 625 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.
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}