Evaluate
\frac{260815}{223746}\approx 1.16567447
Factor
\frac{5 \cdot 52163}{2 \cdot 3 \cdot 89 \cdot 419} = 1\frac{37069}{223746} = 1.1656744701581256
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\begin{array}{l}\phantom{671238)}\phantom{1}\\671238\overline{)782445}\\\end{array}
Use the 1^{st} digit 7 from dividend 782445
\begin{array}{l}\phantom{671238)}0\phantom{2}\\671238\overline{)782445}\\\end{array}
Since 7 is less than 671238, use the next digit 8 from dividend 782445 and add 0 to the quotient
\begin{array}{l}\phantom{671238)}0\phantom{3}\\671238\overline{)782445}\\\end{array}
Use the 2^{nd} digit 8 from dividend 782445
\begin{array}{l}\phantom{671238)}00\phantom{4}\\671238\overline{)782445}\\\end{array}
Since 78 is less than 671238, use the next digit 2 from dividend 782445 and add 0 to the quotient
\begin{array}{l}\phantom{671238)}00\phantom{5}\\671238\overline{)782445}\\\end{array}
Use the 3^{rd} digit 2 from dividend 782445
\begin{array}{l}\phantom{671238)}000\phantom{6}\\671238\overline{)782445}\\\end{array}
Since 782 is less than 671238, use the next digit 4 from dividend 782445 and add 0 to the quotient
\begin{array}{l}\phantom{671238)}000\phantom{7}\\671238\overline{)782445}\\\end{array}
Use the 4^{th} digit 4 from dividend 782445
\begin{array}{l}\phantom{671238)}0000\phantom{8}\\671238\overline{)782445}\\\end{array}
Since 7824 is less than 671238, use the next digit 4 from dividend 782445 and add 0 to the quotient
\begin{array}{l}\phantom{671238)}0000\phantom{9}\\671238\overline{)782445}\\\end{array}
Use the 5^{th} digit 4 from dividend 782445
\begin{array}{l}\phantom{671238)}00000\phantom{10}\\671238\overline{)782445}\\\end{array}
Since 78244 is less than 671238, use the next digit 5 from dividend 782445 and add 0 to the quotient
\begin{array}{l}\phantom{671238)}00000\phantom{11}\\671238\overline{)782445}\\\end{array}
Use the 6^{th} digit 5 from dividend 782445
\begin{array}{l}\phantom{671238)}000001\phantom{12}\\671238\overline{)782445}\\\phantom{671238)}\underline{\phantom{}671238\phantom{}}\\\phantom{671238)}111207\\\end{array}
Find closest multiple of 671238 to 782445. We see that 1 \times 671238 = 671238 is the nearest. Now subtract 671238 from 782445 to get reminder 111207. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }111207
Since 111207 is less than 671238, stop the division. The reminder is 111207. The topmost line 000001 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}