Evaluate
28
Factor
2^{2}\times 7
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)28000}\\\end{array}
Use the 1^{st} digit 2 from dividend 28000
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)28000}\\\end{array}
Since 2 is less than 1000, use the next digit 8 from dividend 28000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)28000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28000
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)28000}\\\end{array}
Since 28 is less than 1000, use the next digit 0 from dividend 28000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)28000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 28000
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)28000}\\\end{array}
Since 280 is less than 1000, use the next digit 0 from dividend 28000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)28000}\\\end{array}
Use the 4^{th} digit 0 from dividend 28000
\begin{array}{l}\phantom{1000)}0002\phantom{8}\\1000\overline{)28000}\\\phantom{1000)}\underline{\phantom{}2000\phantom{9}}\\\phantom{1000)9}800\\\end{array}
Find closest multiple of 1000 to 2800. We see that 2 \times 1000 = 2000 is the nearest. Now subtract 2000 from 2800 to get reminder 800. Add 2 to quotient.
\begin{array}{l}\phantom{1000)}0002\phantom{9}\\1000\overline{)28000}\\\phantom{1000)}\underline{\phantom{}2000\phantom{9}}\\\phantom{1000)9}8000\\\end{array}
Use the 5^{th} digit 0 from dividend 28000
\begin{array}{l}\phantom{1000)}00028\phantom{10}\\1000\overline{)28000}\\\phantom{1000)}\underline{\phantom{}2000\phantom{9}}\\\phantom{1000)9}8000\\\phantom{1000)}\underline{\phantom{9}8000\phantom{}}\\\phantom{1000)99999}0\\\end{array}
Find closest multiple of 1000 to 8000. We see that 8 \times 1000 = 8000 is the nearest. Now subtract 8000 from 8000 to get reminder 0. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }0
Since 0 is less than 1000, stop the division. The reminder is 0. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}