Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)800}\\\end{array}
Use the 1^{st} digit 8 from dividend 800
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)800}\\\end{array}
Since 8 is less than 100, use the next digit 0 from dividend 800 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)800}\\\end{array}
Use the 2^{nd} digit 0 from dividend 800
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)800}\\\end{array}
Since 80 is less than 100, use the next digit 0 from dividend 800 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 800
\begin{array}{l}\phantom{100)}008\phantom{6}\\100\overline{)800}\\\phantom{100)}\underline{\phantom{}800\phantom{}}\\\phantom{100)999}0\\\end{array}
Find closest multiple of 100 to 800. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 800 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}