Evaluate
\frac{37037}{4437}\approx 8.347306739
Factor
\frac{7 \cdot 11 \cdot 13 \cdot 37}{3 ^ {2} \cdot 17 \cdot 29} = 8\frac{1541}{4437} = 8.347306738787468
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\begin{array}{l}\phantom{66555)}\phantom{1}\\66555\overline{)555555}\\\end{array}
Use the 1^{st} digit 5 from dividend 555555
\begin{array}{l}\phantom{66555)}0\phantom{2}\\66555\overline{)555555}\\\end{array}
Since 5 is less than 66555, use the next digit 5 from dividend 555555 and add 0 to the quotient
\begin{array}{l}\phantom{66555)}0\phantom{3}\\66555\overline{)555555}\\\end{array}
Use the 2^{nd} digit 5 from dividend 555555
\begin{array}{l}\phantom{66555)}00\phantom{4}\\66555\overline{)555555}\\\end{array}
Since 55 is less than 66555, use the next digit 5 from dividend 555555 and add 0 to the quotient
\begin{array}{l}\phantom{66555)}00\phantom{5}\\66555\overline{)555555}\\\end{array}
Use the 3^{rd} digit 5 from dividend 555555
\begin{array}{l}\phantom{66555)}000\phantom{6}\\66555\overline{)555555}\\\end{array}
Since 555 is less than 66555, use the next digit 5 from dividend 555555 and add 0 to the quotient
\begin{array}{l}\phantom{66555)}000\phantom{7}\\66555\overline{)555555}\\\end{array}
Use the 4^{th} digit 5 from dividend 555555
\begin{array}{l}\phantom{66555)}0000\phantom{8}\\66555\overline{)555555}\\\end{array}
Since 5555 is less than 66555, use the next digit 5 from dividend 555555 and add 0 to the quotient
\begin{array}{l}\phantom{66555)}0000\phantom{9}\\66555\overline{)555555}\\\end{array}
Use the 5^{th} digit 5 from dividend 555555
\begin{array}{l}\phantom{66555)}00000\phantom{10}\\66555\overline{)555555}\\\end{array}
Since 55555 is less than 66555, use the next digit 5 from dividend 555555 and add 0 to the quotient
\begin{array}{l}\phantom{66555)}00000\phantom{11}\\66555\overline{)555555}\\\end{array}
Use the 6^{th} digit 5 from dividend 555555
\begin{array}{l}\phantom{66555)}000008\phantom{12}\\66555\overline{)555555}\\\phantom{66555)}\underline{\phantom{}532440\phantom{}}\\\phantom{66555)9}23115\\\end{array}
Find closest multiple of 66555 to 555555. We see that 8 \times 66555 = 532440 is the nearest. Now subtract 532440 from 555555 to get reminder 23115. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }23115
Since 23115 is less than 66555, stop the division. The reminder is 23115. The topmost line 000008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}