Evaluate
25
Factor
5^{2}
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)2000}\\\end{array}
Use the 1^{st} digit 2 from dividend 2000
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)2000}\\\end{array}
Since 2 is less than 80, use the next digit 0 from dividend 2000 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)2000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 2000
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)2000}\\\end{array}
Since 20 is less than 80, use the next digit 0 from dividend 2000 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)2000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2000
\begin{array}{l}\phantom{80)}002\phantom{6}\\80\overline{)2000}\\\phantom{80)}\underline{\phantom{}160\phantom{9}}\\\phantom{80)9}40\\\end{array}
Find closest multiple of 80 to 200. We see that 2 \times 80 = 160 is the nearest. Now subtract 160 from 200 to get reminder 40. Add 2 to quotient.
\begin{array}{l}\phantom{80)}002\phantom{7}\\80\overline{)2000}\\\phantom{80)}\underline{\phantom{}160\phantom{9}}\\\phantom{80)9}400\\\end{array}
Use the 4^{th} digit 0 from dividend 2000
\begin{array}{l}\phantom{80)}0025\phantom{8}\\80\overline{)2000}\\\phantom{80)}\underline{\phantom{}160\phantom{9}}\\\phantom{80)9}400\\\phantom{80)}\underline{\phantom{9}400\phantom{}}\\\phantom{80)9999}0\\\end{array}
Find closest multiple of 80 to 400. We see that 5 \times 80 = 400 is the nearest. Now subtract 400 from 400 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 80, 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}