Evaluate
\frac{605591}{40000}=15.139775
Factor
\frac{7 ^ {2} \cdot 17 \cdot 727}{2 ^ {6} \cdot 5 ^ {4}} = 15\frac{5591}{40000} = 15.139775
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\begin{array}{l}\phantom{40000)}\phantom{1}\\40000\overline{)605591}\\\end{array}
Use the 1^{st} digit 6 from dividend 605591
\begin{array}{l}\phantom{40000)}0\phantom{2}\\40000\overline{)605591}\\\end{array}
Since 6 is less than 40000, use the next digit 0 from dividend 605591 and add 0 to the quotient
\begin{array}{l}\phantom{40000)}0\phantom{3}\\40000\overline{)605591}\\\end{array}
Use the 2^{nd} digit 0 from dividend 605591
\begin{array}{l}\phantom{40000)}00\phantom{4}\\40000\overline{)605591}\\\end{array}
Since 60 is less than 40000, use the next digit 5 from dividend 605591 and add 0 to the quotient
\begin{array}{l}\phantom{40000)}00\phantom{5}\\40000\overline{)605591}\\\end{array}
Use the 3^{rd} digit 5 from dividend 605591
\begin{array}{l}\phantom{40000)}000\phantom{6}\\40000\overline{)605591}\\\end{array}
Since 605 is less than 40000, use the next digit 5 from dividend 605591 and add 0 to the quotient
\begin{array}{l}\phantom{40000)}000\phantom{7}\\40000\overline{)605591}\\\end{array}
Use the 4^{th} digit 5 from dividend 605591
\begin{array}{l}\phantom{40000)}0000\phantom{8}\\40000\overline{)605591}\\\end{array}
Since 6055 is less than 40000, use the next digit 9 from dividend 605591 and add 0 to the quotient
\begin{array}{l}\phantom{40000)}0000\phantom{9}\\40000\overline{)605591}\\\end{array}
Use the 5^{th} digit 9 from dividend 605591
\begin{array}{l}\phantom{40000)}00001\phantom{10}\\40000\overline{)605591}\\\phantom{40000)}\underline{\phantom{}40000\phantom{9}}\\\phantom{40000)}20559\\\end{array}
Find closest multiple of 40000 to 60559. We see that 1 \times 40000 = 40000 is the nearest. Now subtract 40000 from 60559 to get reminder 20559. Add 1 to quotient.
\begin{array}{l}\phantom{40000)}00001\phantom{11}\\40000\overline{)605591}\\\phantom{40000)}\underline{\phantom{}40000\phantom{9}}\\\phantom{40000)}205591\\\end{array}
Use the 6^{th} digit 1 from dividend 605591
\begin{array}{l}\phantom{40000)}000015\phantom{12}\\40000\overline{)605591}\\\phantom{40000)}\underline{\phantom{}40000\phantom{9}}\\\phantom{40000)}205591\\\phantom{40000)}\underline{\phantom{}200000\phantom{}}\\\phantom{40000)99}5591\\\end{array}
Find closest multiple of 40000 to 205591. We see that 5 \times 40000 = 200000 is the nearest. Now subtract 200000 from 205591 to get reminder 5591. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }5591
Since 5591 is less than 40000, stop the division. The reminder is 5591. The topmost line 000015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}