Evaluate
\frac{900}{107}\approx 8.411214953
Factor
\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}}{107} = 8\frac{44}{107} = 8.411214953271028
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\begin{array}{l}\phantom{66875)}\phantom{1}\\66875\overline{)562500}\\\end{array}
Use the 1^{st} digit 5 from dividend 562500
\begin{array}{l}\phantom{66875)}0\phantom{2}\\66875\overline{)562500}\\\end{array}
Since 5 is less than 66875, use the next digit 6 from dividend 562500 and add 0 to the quotient
\begin{array}{l}\phantom{66875)}0\phantom{3}\\66875\overline{)562500}\\\end{array}
Use the 2^{nd} digit 6 from dividend 562500
\begin{array}{l}\phantom{66875)}00\phantom{4}\\66875\overline{)562500}\\\end{array}
Since 56 is less than 66875, use the next digit 2 from dividend 562500 and add 0 to the quotient
\begin{array}{l}\phantom{66875)}00\phantom{5}\\66875\overline{)562500}\\\end{array}
Use the 3^{rd} digit 2 from dividend 562500
\begin{array}{l}\phantom{66875)}000\phantom{6}\\66875\overline{)562500}\\\end{array}
Since 562 is less than 66875, use the next digit 5 from dividend 562500 and add 0 to the quotient
\begin{array}{l}\phantom{66875)}000\phantom{7}\\66875\overline{)562500}\\\end{array}
Use the 4^{th} digit 5 from dividend 562500
\begin{array}{l}\phantom{66875)}0000\phantom{8}\\66875\overline{)562500}\\\end{array}
Since 5625 is less than 66875, use the next digit 0 from dividend 562500 and add 0 to the quotient
\begin{array}{l}\phantom{66875)}0000\phantom{9}\\66875\overline{)562500}\\\end{array}
Use the 5^{th} digit 0 from dividend 562500
\begin{array}{l}\phantom{66875)}00000\phantom{10}\\66875\overline{)562500}\\\end{array}
Since 56250 is less than 66875, use the next digit 0 from dividend 562500 and add 0 to the quotient
\begin{array}{l}\phantom{66875)}00000\phantom{11}\\66875\overline{)562500}\\\end{array}
Use the 6^{th} digit 0 from dividend 562500
\begin{array}{l}\phantom{66875)}000008\phantom{12}\\66875\overline{)562500}\\\phantom{66875)}\underline{\phantom{}535000\phantom{}}\\\phantom{66875)9}27500\\\end{array}
Find closest multiple of 66875 to 562500. We see that 8 \times 66875 = 535000 is the nearest. Now subtract 535000 from 562500 to get reminder 27500. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }27500
Since 27500 is less than 66875, stop the division. The reminder is 27500. 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}