Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)3200}\\\end{array}
Use the 1^{st} digit 3 from dividend 3200
\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)3200}\\\end{array}
Since 3 is less than 400, use the next digit 2 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)3200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 3200
\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)3200}\\\end{array}
Since 32 is less than 400, use the next digit 0 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)3200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3200
\begin{array}{l}\phantom{400)}000\phantom{6}\\400\overline{)3200}\\\end{array}
Since 320 is less than 400, use the next digit 0 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{400)}000\phantom{7}\\400\overline{)3200}\\\end{array}
Use the 4^{th} digit 0 from dividend 3200
\begin{array}{l}\phantom{400)}0008\phantom{8}\\400\overline{)3200}\\\phantom{400)}\underline{\phantom{}3200\phantom{}}\\\phantom{400)9999}0\\\end{array}
Find closest multiple of 400 to 3200. We see that 8 \times 400 = 3200 is the nearest. Now subtract 3200 from 3200 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 400, stop the division. The reminder is 0. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}