Evaluate
\frac{33}{2}=16.5
Factor
\frac{3 \cdot 11}{2} = 16\frac{1}{2} = 16.5
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)990}\\\end{array}
Use the 1^{st} digit 9 from dividend 990
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)990}\\\end{array}
Since 9 is less than 60, use the next digit 9 from dividend 990 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)990}\\\end{array}
Use the 2^{nd} digit 9 from dividend 990
\begin{array}{l}\phantom{60)}01\phantom{4}\\60\overline{)990}\\\phantom{60)}\underline{\phantom{}60\phantom{9}}\\\phantom{60)}39\\\end{array}
Find closest multiple of 60 to 99. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 99 to get reminder 39. Add 1 to quotient.
\begin{array}{l}\phantom{60)}01\phantom{5}\\60\overline{)990}\\\phantom{60)}\underline{\phantom{}60\phantom{9}}\\\phantom{60)}390\\\end{array}
Use the 3^{rd} digit 0 from dividend 990
\begin{array}{l}\phantom{60)}016\phantom{6}\\60\overline{)990}\\\phantom{60)}\underline{\phantom{}60\phantom{9}}\\\phantom{60)}390\\\phantom{60)}\underline{\phantom{}360\phantom{}}\\\phantom{60)9}30\\\end{array}
Find closest multiple of 60 to 390. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 390 to get reminder 30. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }30
Since 30 is less than 60, stop the division. The reminder is 30. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}