Evaluate
\frac{5829}{5000}=1.1658
Factor
\frac{3 \cdot 29 \cdot 67}{2 ^ {3} \cdot 5 ^ {4}} = 1\frac{829}{5000} = 1.1658
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\begin{array}{l}\phantom{60000)}\phantom{1}\\60000\overline{)69948}\\\end{array}
Use the 1^{st} digit 6 from dividend 69948
\begin{array}{l}\phantom{60000)}0\phantom{2}\\60000\overline{)69948}\\\end{array}
Since 6 is less than 60000, use the next digit 9 from dividend 69948 and add 0 to the quotient
\begin{array}{l}\phantom{60000)}0\phantom{3}\\60000\overline{)69948}\\\end{array}
Use the 2^{nd} digit 9 from dividend 69948
\begin{array}{l}\phantom{60000)}00\phantom{4}\\60000\overline{)69948}\\\end{array}
Since 69 is less than 60000, use the next digit 9 from dividend 69948 and add 0 to the quotient
\begin{array}{l}\phantom{60000)}00\phantom{5}\\60000\overline{)69948}\\\end{array}
Use the 3^{rd} digit 9 from dividend 69948
\begin{array}{l}\phantom{60000)}000\phantom{6}\\60000\overline{)69948}\\\end{array}
Since 699 is less than 60000, use the next digit 4 from dividend 69948 and add 0 to the quotient
\begin{array}{l}\phantom{60000)}000\phantom{7}\\60000\overline{)69948}\\\end{array}
Use the 4^{th} digit 4 from dividend 69948
\begin{array}{l}\phantom{60000)}0000\phantom{8}\\60000\overline{)69948}\\\end{array}
Since 6994 is less than 60000, use the next digit 8 from dividend 69948 and add 0 to the quotient
\begin{array}{l}\phantom{60000)}0000\phantom{9}\\60000\overline{)69948}\\\end{array}
Use the 5^{th} digit 8 from dividend 69948
\begin{array}{l}\phantom{60000)}00001\phantom{10}\\60000\overline{)69948}\\\phantom{60000)}\underline{\phantom{}60000\phantom{}}\\\phantom{60000)9}9948\\\end{array}
Find closest multiple of 60000 to 69948. We see that 1 \times 60000 = 60000 is the nearest. Now subtract 60000 from 69948 to get reminder 9948. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }9948
Since 9948 is less than 60000, stop the division. The reminder is 9948. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}