Evaluate
\frac{49}{9}\approx 5.444444444
Factor
\frac{7 ^ {2}}{3 ^ {2}} = 5\frac{4}{9} = 5.444444444444445
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\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)19600}\\\end{array}
Use the 1^{st} digit 1 from dividend 19600
\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)19600}\\\end{array}
Since 1 is less than 3600, use the next digit 9 from dividend 19600 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)19600}\\\end{array}
Use the 2^{nd} digit 9 from dividend 19600
\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)19600}\\\end{array}
Since 19 is less than 3600, use the next digit 6 from dividend 19600 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)19600}\\\end{array}
Use the 3^{rd} digit 6 from dividend 19600
\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)19600}\\\end{array}
Since 196 is less than 3600, use the next digit 0 from dividend 19600 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)19600}\\\end{array}
Use the 4^{th} digit 0 from dividend 19600
\begin{array}{l}\phantom{3600)}0000\phantom{8}\\3600\overline{)19600}\\\end{array}
Since 1960 is less than 3600, use the next digit 0 from dividend 19600 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0000\phantom{9}\\3600\overline{)19600}\\\end{array}
Use the 5^{th} digit 0 from dividend 19600
\begin{array}{l}\phantom{3600)}00005\phantom{10}\\3600\overline{)19600}\\\phantom{3600)}\underline{\phantom{}18000\phantom{}}\\\phantom{3600)9}1600\\\end{array}
Find closest multiple of 3600 to 19600. We see that 5 \times 3600 = 18000 is the nearest. Now subtract 18000 from 19600 to get reminder 1600. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }1600
Since 1600 is less than 3600, stop the division. The reminder is 1600. The topmost line 00005 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}