Evaluate
\frac{5845}{72}\approx 81.180555556
Factor
\frac{5 \cdot 7 \cdot 167}{2 ^ {3} \cdot 3 ^ {2}} = 81\frac{13}{72} = 81.18055555555556
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\begin{array}{l}\phantom{1440000)}\phantom{1}\\1440000\overline{)116900000}\\\end{array}
Use the 1^{st} digit 1 from dividend 116900000
\begin{array}{l}\phantom{1440000)}0\phantom{2}\\1440000\overline{)116900000}\\\end{array}
Since 1 is less than 1440000, use the next digit 1 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}0\phantom{3}\\1440000\overline{)116900000}\\\end{array}
Use the 2^{nd} digit 1 from dividend 116900000
\begin{array}{l}\phantom{1440000)}00\phantom{4}\\1440000\overline{)116900000}\\\end{array}
Since 11 is less than 1440000, use the next digit 6 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}00\phantom{5}\\1440000\overline{)116900000}\\\end{array}
Use the 3^{rd} digit 6 from dividend 116900000
\begin{array}{l}\phantom{1440000)}000\phantom{6}\\1440000\overline{)116900000}\\\end{array}
Since 116 is less than 1440000, use the next digit 9 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}000\phantom{7}\\1440000\overline{)116900000}\\\end{array}
Use the 4^{th} digit 9 from dividend 116900000
\begin{array}{l}\phantom{1440000)}0000\phantom{8}\\1440000\overline{)116900000}\\\end{array}
Since 1169 is less than 1440000, use the next digit 0 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}0000\phantom{9}\\1440000\overline{)116900000}\\\end{array}
Use the 5^{th} digit 0 from dividend 116900000
\begin{array}{l}\phantom{1440000)}00000\phantom{10}\\1440000\overline{)116900000}\\\end{array}
Since 11690 is less than 1440000, use the next digit 0 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}00000\phantom{11}\\1440000\overline{)116900000}\\\end{array}
Use the 6^{th} digit 0 from dividend 116900000
\begin{array}{l}\phantom{1440000)}000000\phantom{12}\\1440000\overline{)116900000}\\\end{array}
Since 116900 is less than 1440000, use the next digit 0 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}000000\phantom{13}\\1440000\overline{)116900000}\\\end{array}
Use the 7^{th} digit 0 from dividend 116900000
\begin{array}{l}\phantom{1440000)}0000000\phantom{14}\\1440000\overline{)116900000}\\\end{array}
Since 1169000 is less than 1440000, use the next digit 0 from dividend 116900000 and add 0 to the quotient
\begin{array}{l}\phantom{1440000)}0000000\phantom{15}\\1440000\overline{)116900000}\\\end{array}
Use the 8^{th} digit 0 from dividend 116900000
\begin{array}{l}\phantom{1440000)}00000008\phantom{16}\\1440000\overline{)116900000}\\\phantom{1440000)}\underline{\phantom{}11520000\phantom{9}}\\\phantom{1440000)99}170000\\\end{array}
Find closest multiple of 1440000 to 11690000. We see that 8 \times 1440000 = 11520000 is the nearest. Now subtract 11520000 from 11690000 to get reminder 170000. Add 8 to quotient.
\begin{array}{l}\phantom{1440000)}00000008\phantom{17}\\1440000\overline{)116900000}\\\phantom{1440000)}\underline{\phantom{}11520000\phantom{9}}\\\phantom{1440000)99}1700000\\\end{array}
Use the 9^{th} digit 0 from dividend 116900000
\begin{array}{l}\phantom{1440000)}000000081\phantom{18}\\1440000\overline{)116900000}\\\phantom{1440000)}\underline{\phantom{}11520000\phantom{9}}\\\phantom{1440000)99}1700000\\\phantom{1440000)}\underline{\phantom{99}1440000\phantom{}}\\\phantom{1440000)999}260000\\\end{array}
Find closest multiple of 1440000 to 1700000. We see that 1 \times 1440000 = 1440000 is the nearest. Now subtract 1440000 from 1700000 to get reminder 260000. Add 1 to quotient.
\text{Quotient: }81 \text{Reminder: }260000
Since 260000 is less than 1440000, stop the division. The reminder is 260000. The topmost line 000000081 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 81.
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}