Evaluate
\frac{55}{6}\approx 9.166666667
Factor
\frac{5 \cdot 11}{2 \cdot 3} = 9\frac{1}{6} = 9.166666666666666
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)550}\\\end{array}
Use the 1^{st} digit 5 from dividend 550
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)550}\\\end{array}
Since 5 is less than 60, use the next digit 5 from dividend 550 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)550}\\\end{array}
Use the 2^{nd} digit 5 from dividend 550
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)550}\\\end{array}
Since 55 is less than 60, use the next digit 0 from dividend 550 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)550}\\\end{array}
Use the 3^{rd} digit 0 from dividend 550
\begin{array}{l}\phantom{60)}009\phantom{6}\\60\overline{)550}\\\phantom{60)}\underline{\phantom{}540\phantom{}}\\\phantom{60)9}10\\\end{array}
Find closest multiple of 60 to 550. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 550 to get reminder 10. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }10
Since 10 is less than 60, stop the division. The reminder is 10. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}