Evaluate
406055
Factor
5\times 13\times 6247
Share
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\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)4466605}\\\end{array}
Use the 1^{st} digit 4 from dividend 4466605
\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)4466605}\\\end{array}
Since 4 is less than 11, use the next digit 4 from dividend 4466605 and add 0 to the quotient
\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)4466605}\\\end{array}
Use the 2^{nd} digit 4 from dividend 4466605
\begin{array}{l}\phantom{11)}04\phantom{4}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}0\\\end{array}
Find closest multiple of 11 to 44. We see that 4 \times 11 = 44 is the nearest. Now subtract 44 from 44 to get reminder 0. Add 4 to quotient.
\begin{array}{l}\phantom{11)}04\phantom{5}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}6\\\end{array}
Use the 3^{rd} digit 6 from dividend 4466605
\begin{array}{l}\phantom{11)}040\phantom{6}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}6\\\end{array}
Since 6 is less than 11, use the next digit 6 from dividend 4466605 and add 0 to the quotient
\begin{array}{l}\phantom{11)}040\phantom{7}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\end{array}
Use the 4^{th} digit 6 from dividend 4466605
\begin{array}{l}\phantom{11)}0406\phantom{8}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}0\\\end{array}
Find closest multiple of 11 to 66. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 66 to get reminder 0. Add 6 to quotient.
\begin{array}{l}\phantom{11)}0406\phantom{9}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}6\\\end{array}
Use the 5^{th} digit 6 from dividend 4466605
\begin{array}{l}\phantom{11)}04060\phantom{10}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}6\\\end{array}
Since 6 is less than 11, use the next digit 0 from dividend 4466605 and add 0 to the quotient
\begin{array}{l}\phantom{11)}04060\phantom{11}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}60\\\end{array}
Use the 6^{th} digit 0 from dividend 4466605
\begin{array}{l}\phantom{11)}040605\phantom{12}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}60\\\phantom{11)}\underline{\phantom{9999}55\phantom{9}}\\\phantom{11)99999}5\\\end{array}
Find closest multiple of 11 to 60. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 60 to get reminder 5. Add 5 to quotient.
\begin{array}{l}\phantom{11)}040605\phantom{13}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}60\\\phantom{11)}\underline{\phantom{9999}55\phantom{9}}\\\phantom{11)99999}55\\\end{array}
Use the 7^{th} digit 5 from dividend 4466605
\begin{array}{l}\phantom{11)}0406055\phantom{14}\\11\overline{)4466605}\\\phantom{11)}\underline{\phantom{}44\phantom{99999}}\\\phantom{11)99}66\\\phantom{11)}\underline{\phantom{99}66\phantom{999}}\\\phantom{11)9999}60\\\phantom{11)}\underline{\phantom{9999}55\phantom{9}}\\\phantom{11)99999}55\\\phantom{11)}\underline{\phantom{99999}55\phantom{}}\\\phantom{11)9999999}0\\\end{array}
Find closest multiple of 11 to 55. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 55 to get reminder 0. Add 5 to quotient.
\text{Quotient: }406055 \text{Reminder: }0
Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0406055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 406055.
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}