Evaluate
\frac{600}{133}\approx 4.511278195
Factor
\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {2}}{7 \cdot 19} = 4\frac{68}{133} = 4.511278195488722
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\begin{array}{l}\phantom{99750000)}\phantom{1}\\99750000\overline{)450000000}\\\end{array}
Use the 1^{st} digit 4 from dividend 450000000
\begin{array}{l}\phantom{99750000)}0\phantom{2}\\99750000\overline{)450000000}\\\end{array}
Since 4 is less than 99750000, use the next digit 5 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}0\phantom{3}\\99750000\overline{)450000000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 450000000
\begin{array}{l}\phantom{99750000)}00\phantom{4}\\99750000\overline{)450000000}\\\end{array}
Since 45 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}00\phantom{5}\\99750000\overline{)450000000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}000\phantom{6}\\99750000\overline{)450000000}\\\end{array}
Since 450 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}000\phantom{7}\\99750000\overline{)450000000}\\\end{array}
Use the 4^{th} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}0000\phantom{8}\\99750000\overline{)450000000}\\\end{array}
Since 4500 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}0000\phantom{9}\\99750000\overline{)450000000}\\\end{array}
Use the 5^{th} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}00000\phantom{10}\\99750000\overline{)450000000}\\\end{array}
Since 45000 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}00000\phantom{11}\\99750000\overline{)450000000}\\\end{array}
Use the 6^{th} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}000000\phantom{12}\\99750000\overline{)450000000}\\\end{array}
Since 450000 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}000000\phantom{13}\\99750000\overline{)450000000}\\\end{array}
Use the 7^{th} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}0000000\phantom{14}\\99750000\overline{)450000000}\\\end{array}
Since 4500000 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}0000000\phantom{15}\\99750000\overline{)450000000}\\\end{array}
Use the 8^{th} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}00000000\phantom{16}\\99750000\overline{)450000000}\\\end{array}
Since 45000000 is less than 99750000, use the next digit 0 from dividend 450000000 and add 0 to the quotient
\begin{array}{l}\phantom{99750000)}00000000\phantom{17}\\99750000\overline{)450000000}\\\end{array}
Use the 9^{th} digit 0 from dividend 450000000
\begin{array}{l}\phantom{99750000)}000000004\phantom{18}\\99750000\overline{)450000000}\\\phantom{99750000)}\underline{\phantom{}399000000\phantom{}}\\\phantom{99750000)9}51000000\\\end{array}
Find closest multiple of 99750000 to 450000000. We see that 4 \times 99750000 = 399000000 is the nearest. Now subtract 399000000 from 450000000 to get reminder 51000000. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }51000000
Since 51000000 is less than 99750000, stop the division. The reminder is 51000000. The topmost line 000000004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}