Evaluate
4
Factor
2^{2}
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\begin{array}{l}\phantom{25000)}\phantom{1}\\25000\overline{)100000}\\\end{array}
Use the 1^{st} digit 1 from dividend 100000
\begin{array}{l}\phantom{25000)}0\phantom{2}\\25000\overline{)100000}\\\end{array}
Since 1 is less than 25000, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}0\phantom{3}\\25000\overline{)100000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 100000
\begin{array}{l}\phantom{25000)}00\phantom{4}\\25000\overline{)100000}\\\end{array}
Since 10 is less than 25000, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}00\phantom{5}\\25000\overline{)100000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 100000
\begin{array}{l}\phantom{25000)}000\phantom{6}\\25000\overline{)100000}\\\end{array}
Since 100 is less than 25000, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}000\phantom{7}\\25000\overline{)100000}\\\end{array}
Use the 4^{th} digit 0 from dividend 100000
\begin{array}{l}\phantom{25000)}0000\phantom{8}\\25000\overline{)100000}\\\end{array}
Since 1000 is less than 25000, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}0000\phantom{9}\\25000\overline{)100000}\\\end{array}
Use the 5^{th} digit 0 from dividend 100000
\begin{array}{l}\phantom{25000)}00000\phantom{10}\\25000\overline{)100000}\\\end{array}
Since 10000 is less than 25000, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}00000\phantom{11}\\25000\overline{)100000}\\\end{array}
Use the 6^{th} digit 0 from dividend 100000
\begin{array}{l}\phantom{25000)}000004\phantom{12}\\25000\overline{)100000}\\\phantom{25000)}\underline{\phantom{}100000\phantom{}}\\\phantom{25000)999999}0\\\end{array}
Find closest multiple of 25000 to 100000. We see that 4 \times 25000 = 100000 is the nearest. Now subtract 100000 from 100000 to get reminder 0. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }0
Since 0 is less than 25000, stop the division. The reminder is 0. The topmost line 000004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}