Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{25000)}\phantom{1}\\25000\overline{)150000}\\\end{array}
Use the 1^{st} digit 1 from dividend 150000
\begin{array}{l}\phantom{25000)}0\phantom{2}\\25000\overline{)150000}\\\end{array}
Since 1 is less than 25000, use the next digit 5 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}0\phantom{3}\\25000\overline{)150000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 150000
\begin{array}{l}\phantom{25000)}00\phantom{4}\\25000\overline{)150000}\\\end{array}
Since 15 is less than 25000, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}00\phantom{5}\\25000\overline{)150000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 150000
\begin{array}{l}\phantom{25000)}000\phantom{6}\\25000\overline{)150000}\\\end{array}
Since 150 is less than 25000, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}000\phantom{7}\\25000\overline{)150000}\\\end{array}
Use the 4^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{25000)}0000\phantom{8}\\25000\overline{)150000}\\\end{array}
Since 1500 is less than 25000, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}0000\phantom{9}\\25000\overline{)150000}\\\end{array}
Use the 5^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{25000)}00000\phantom{10}\\25000\overline{)150000}\\\end{array}
Since 15000 is less than 25000, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{25000)}00000\phantom{11}\\25000\overline{)150000}\\\end{array}
Use the 6^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{25000)}000006\phantom{12}\\25000\overline{)150000}\\\phantom{25000)}\underline{\phantom{}150000\phantom{}}\\\phantom{25000)999999}0\\\end{array}
Find closest multiple of 25000 to 150000. We see that 6 \times 25000 = 150000 is the nearest. Now subtract 150000 from 150000 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 25000, stop the division. The reminder is 0. The topmost line 000006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}