Evaluate
\frac{55}{2}=27.5
Factor
\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1650}\\\end{array}
Use the 1^{st} digit 1 from dividend 1650
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1650}\\\end{array}
Since 1 is less than 60, use the next digit 6 from dividend 1650 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1650}\\\end{array}
Use the 2^{nd} digit 6 from dividend 1650
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1650}\\\end{array}
Since 16 is less than 60, use the next digit 5 from dividend 1650 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1650}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1650
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1650}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}45\\\end{array}
Find closest multiple of 60 to 165. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 165 to get reminder 45. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1650}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}450\\\end{array}
Use the 4^{th} digit 0 from dividend 1650
\begin{array}{l}\phantom{60)}0027\phantom{8}\\60\overline{)1650}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}450\\\phantom{60)}\underline{\phantom{9}420\phantom{}}\\\phantom{60)99}30\\\end{array}
Find closest multiple of 60 to 450. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 450 to get reminder 30. Add 7 to quotient.
\text{Quotient: }27 \text{Reminder: }30
Since 30 is less than 60, stop the division. The reminder is 30. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.
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}