Evaluate
25
Factor
5^{2}
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\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)90000}\\\end{array}
Use the 1^{st} digit 9 from dividend 90000
\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)90000}\\\end{array}
Since 9 is less than 3600, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)90000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 90000
\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)90000}\\\end{array}
Since 90 is less than 3600, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)90000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 90000
\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)90000}\\\end{array}
Since 900 is less than 3600, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)90000}\\\end{array}
Use the 4^{th} digit 0 from dividend 90000
\begin{array}{l}\phantom{3600)}0002\phantom{8}\\3600\overline{)90000}\\\phantom{3600)}\underline{\phantom{}7200\phantom{9}}\\\phantom{3600)}1800\\\end{array}
Find closest multiple of 3600 to 9000. We see that 2 \times 3600 = 7200 is the nearest. Now subtract 7200 from 9000 to get reminder 1800. Add 2 to quotient.
\begin{array}{l}\phantom{3600)}0002\phantom{9}\\3600\overline{)90000}\\\phantom{3600)}\underline{\phantom{}7200\phantom{9}}\\\phantom{3600)}18000\\\end{array}
Use the 5^{th} digit 0 from dividend 90000
\begin{array}{l}\phantom{3600)}00025\phantom{10}\\3600\overline{)90000}\\\phantom{3600)}\underline{\phantom{}7200\phantom{9}}\\\phantom{3600)}18000\\\phantom{3600)}\underline{\phantom{}18000\phantom{}}\\\phantom{3600)99999}0\\\end{array}
Find closest multiple of 3600 to 18000. We see that 5 \times 3600 = 18000 is the nearest. Now subtract 18000 from 18000 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 3600, stop the division. The reminder is 0. The topmost line 00025 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}