Evaluate
5
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5
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\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)900}\\\end{array}
Use the 1^{st} digit 9 from dividend 900
\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)900}\\\end{array}
Since 9 is less than 180, use the next digit 0 from dividend 900 and add 0 to the quotient
\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)900}\\\end{array}
Use the 2^{nd} digit 0 from dividend 900
\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)900}\\\end{array}
Since 90 is less than 180, use the next digit 0 from dividend 900 and add 0 to the quotient
\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)900}\\\end{array}
Use the 3^{rd} digit 0 from dividend 900
\begin{array}{l}\phantom{180)}005\phantom{6}\\180\overline{)900}\\\phantom{180)}\underline{\phantom{}900\phantom{}}\\\phantom{180)999}0\\\end{array}
Find closest multiple of 180 to 900. We see that 5 \times 180 = 900 is the nearest. Now subtract 900 from 900 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 180, stop the division. The reminder is 0. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}