Evaluate
\frac{342239}{486}\approx 704.195473251
Factor
\frac{342239}{2 \cdot 3 ^ {5}} = 704\frac{95}{486} = 704.1954732510288
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\begin{array}{l}\phantom{486)}\phantom{1}\\486\overline{)342239}\\\end{array}
Use the 1^{st} digit 3 from dividend 342239
\begin{array}{l}\phantom{486)}0\phantom{2}\\486\overline{)342239}\\\end{array}
Since 3 is less than 486, use the next digit 4 from dividend 342239 and add 0 to the quotient
\begin{array}{l}\phantom{486)}0\phantom{3}\\486\overline{)342239}\\\end{array}
Use the 2^{nd} digit 4 from dividend 342239
\begin{array}{l}\phantom{486)}00\phantom{4}\\486\overline{)342239}\\\end{array}
Since 34 is less than 486, use the next digit 2 from dividend 342239 and add 0 to the quotient
\begin{array}{l}\phantom{486)}00\phantom{5}\\486\overline{)342239}\\\end{array}
Use the 3^{rd} digit 2 from dividend 342239
\begin{array}{l}\phantom{486)}000\phantom{6}\\486\overline{)342239}\\\end{array}
Since 342 is less than 486, use the next digit 2 from dividend 342239 and add 0 to the quotient
\begin{array}{l}\phantom{486)}000\phantom{7}\\486\overline{)342239}\\\end{array}
Use the 4^{th} digit 2 from dividend 342239
\begin{array}{l}\phantom{486)}0007\phantom{8}\\486\overline{)342239}\\\phantom{486)}\underline{\phantom{}3402\phantom{99}}\\\phantom{486)99}20\\\end{array}
Find closest multiple of 486 to 3422. We see that 7 \times 486 = 3402 is the nearest. Now subtract 3402 from 3422 to get reminder 20. Add 7 to quotient.
\begin{array}{l}\phantom{486)}0007\phantom{9}\\486\overline{)342239}\\\phantom{486)}\underline{\phantom{}3402\phantom{99}}\\\phantom{486)99}203\\\end{array}
Use the 5^{th} digit 3 from dividend 342239
\begin{array}{l}\phantom{486)}00070\phantom{10}\\486\overline{)342239}\\\phantom{486)}\underline{\phantom{}3402\phantom{99}}\\\phantom{486)99}203\\\end{array}
Since 203 is less than 486, use the next digit 9 from dividend 342239 and add 0 to the quotient
\begin{array}{l}\phantom{486)}00070\phantom{11}\\486\overline{)342239}\\\phantom{486)}\underline{\phantom{}3402\phantom{99}}\\\phantom{486)99}2039\\\end{array}
Use the 6^{th} digit 9 from dividend 342239
\begin{array}{l}\phantom{486)}000704\phantom{12}\\486\overline{)342239}\\\phantom{486)}\underline{\phantom{}3402\phantom{99}}\\\phantom{486)99}2039\\\phantom{486)}\underline{\phantom{99}1944\phantom{}}\\\phantom{486)9999}95\\\end{array}
Find closest multiple of 486 to 2039. We see that 4 \times 486 = 1944 is the nearest. Now subtract 1944 from 2039 to get reminder 95. Add 4 to quotient.
\text{Quotient: }704 \text{Reminder: }95
Since 95 is less than 486, stop the division. The reminder is 95. The topmost line 000704 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 704.
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}