Evaluate
\frac{651859}{13859}\approx 47.035067465
Factor
\frac{13 \cdot 41 \cdot 1223}{13859} = 47\frac{486}{13859} = 47.03506746518508
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\begin{array}{l}\phantom{41577)}\phantom{1}\\41577\overline{)1955577}\\\end{array}
Use the 1^{st} digit 1 from dividend 1955577
\begin{array}{l}\phantom{41577)}0\phantom{2}\\41577\overline{)1955577}\\\end{array}
Since 1 is less than 41577, use the next digit 9 from dividend 1955577 and add 0 to the quotient
\begin{array}{l}\phantom{41577)}0\phantom{3}\\41577\overline{)1955577}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1955577
\begin{array}{l}\phantom{41577)}00\phantom{4}\\41577\overline{)1955577}\\\end{array}
Since 19 is less than 41577, use the next digit 5 from dividend 1955577 and add 0 to the quotient
\begin{array}{l}\phantom{41577)}00\phantom{5}\\41577\overline{)1955577}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1955577
\begin{array}{l}\phantom{41577)}000\phantom{6}\\41577\overline{)1955577}\\\end{array}
Since 195 is less than 41577, use the next digit 5 from dividend 1955577 and add 0 to the quotient
\begin{array}{l}\phantom{41577)}000\phantom{7}\\41577\overline{)1955577}\\\end{array}
Use the 4^{th} digit 5 from dividend 1955577
\begin{array}{l}\phantom{41577)}0000\phantom{8}\\41577\overline{)1955577}\\\end{array}
Since 1955 is less than 41577, use the next digit 5 from dividend 1955577 and add 0 to the quotient
\begin{array}{l}\phantom{41577)}0000\phantom{9}\\41577\overline{)1955577}\\\end{array}
Use the 5^{th} digit 5 from dividend 1955577
\begin{array}{l}\phantom{41577)}00000\phantom{10}\\41577\overline{)1955577}\\\end{array}
Since 19555 is less than 41577, use the next digit 7 from dividend 1955577 and add 0 to the quotient
\begin{array}{l}\phantom{41577)}00000\phantom{11}\\41577\overline{)1955577}\\\end{array}
Use the 6^{th} digit 7 from dividend 1955577
\begin{array}{l}\phantom{41577)}000004\phantom{12}\\41577\overline{)1955577}\\\phantom{41577)}\underline{\phantom{}166308\phantom{9}}\\\phantom{41577)9}29249\\\end{array}
Find closest multiple of 41577 to 195557. We see that 4 \times 41577 = 166308 is the nearest. Now subtract 166308 from 195557 to get reminder 29249. Add 4 to quotient.
\begin{array}{l}\phantom{41577)}000004\phantom{13}\\41577\overline{)1955577}\\\phantom{41577)}\underline{\phantom{}166308\phantom{9}}\\\phantom{41577)9}292497\\\end{array}
Use the 7^{th} digit 7 from dividend 1955577
\begin{array}{l}\phantom{41577)}0000047\phantom{14}\\41577\overline{)1955577}\\\phantom{41577)}\underline{\phantom{}166308\phantom{9}}\\\phantom{41577)9}292497\\\phantom{41577)}\underline{\phantom{9}291039\phantom{}}\\\phantom{41577)999}1458\\\end{array}
Find closest multiple of 41577 to 292497. We see that 7 \times 41577 = 291039 is the nearest. Now subtract 291039 from 292497 to get reminder 1458. Add 7 to quotient.
\text{Quotient: }47 \text{Reminder: }1458
Since 1458 is less than 41577, stop the division. The reminder is 1458. The topmost line 0000047 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 47.
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}