Evaluate
\frac{49}{5}=9.8
Factor
\frac{7 ^ {2}}{5} = 9\frac{4}{5} = 9.8
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)588}\\\end{array}
Use the 1^{st} digit 5 from dividend 588
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)588}\\\end{array}
Since 5 is less than 60, use the next digit 8 from dividend 588 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)588}\\\end{array}
Use the 2^{nd} digit 8 from dividend 588
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)588}\\\end{array}
Since 58 is less than 60, use the next digit 8 from dividend 588 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)588}\\\end{array}
Use the 3^{rd} digit 8 from dividend 588
\begin{array}{l}\phantom{60)}009\phantom{6}\\60\overline{)588}\\\phantom{60)}\underline{\phantom{}540\phantom{}}\\\phantom{60)9}48\\\end{array}
Find closest multiple of 60 to 588. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 588 to get reminder 48. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }48
Since 48 is less than 60, stop the division. The reminder is 48. 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}