Evaluate
\frac{1111111}{40}=27777.775
Factor
\frac{239 \cdot 4649}{2 ^ {3} \cdot 5} = 27777\frac{31}{40} = 27777.775
Share
Copied to clipboard
\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)9999999}\\\end{array}
Use the 1^{st} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)9999999}\\\end{array}
Since 9 is less than 360, use the next digit 9 from dividend 9999999 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)9999999}\\\end{array}
Use the 2^{nd} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)9999999}\\\end{array}
Since 99 is less than 360, use the next digit 9 from dividend 9999999 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)9999999}\\\end{array}
Use the 3^{rd} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}002\phantom{6}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}279\\\end{array}
Find closest multiple of 360 to 999. We see that 2 \times 360 = 720 is the nearest. Now subtract 720 from 999 to get reminder 279. Add 2 to quotient.
\begin{array}{l}\phantom{360)}002\phantom{7}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\end{array}
Use the 4^{th} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}0027\phantom{8}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}279\\\end{array}
Find closest multiple of 360 to 2799. We see that 7 \times 360 = 2520 is the nearest. Now subtract 2520 from 2799 to get reminder 279. Add 7 to quotient.
\begin{array}{l}\phantom{360)}0027\phantom{9}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}2799\\\end{array}
Use the 5^{th} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}00277\phantom{10}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}2799\\\phantom{360)}\underline{\phantom{9}2520\phantom{99}}\\\phantom{360)99}279\\\end{array}
Find closest multiple of 360 to 2799. We see that 7 \times 360 = 2520 is the nearest. Now subtract 2520 from 2799 to get reminder 279. Add 7 to quotient.
\begin{array}{l}\phantom{360)}00277\phantom{11}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}2799\\\phantom{360)}\underline{\phantom{9}2520\phantom{99}}\\\phantom{360)99}2799\\\end{array}
Use the 6^{th} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}002777\phantom{12}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}2799\\\phantom{360)}\underline{\phantom{9}2520\phantom{99}}\\\phantom{360)99}2799\\\phantom{360)}\underline{\phantom{99}2520\phantom{9}}\\\phantom{360)999}279\\\end{array}
Find closest multiple of 360 to 2799. We see that 7 \times 360 = 2520 is the nearest. Now subtract 2520 from 2799 to get reminder 279. Add 7 to quotient.
\begin{array}{l}\phantom{360)}002777\phantom{13}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}2799\\\phantom{360)}\underline{\phantom{9}2520\phantom{99}}\\\phantom{360)99}2799\\\phantom{360)}\underline{\phantom{99}2520\phantom{9}}\\\phantom{360)999}2799\\\end{array}
Use the 7^{th} digit 9 from dividend 9999999
\begin{array}{l}\phantom{360)}0027777\phantom{14}\\360\overline{)9999999}\\\phantom{360)}\underline{\phantom{}720\phantom{9999}}\\\phantom{360)}2799\\\phantom{360)}\underline{\phantom{}2520\phantom{999}}\\\phantom{360)9}2799\\\phantom{360)}\underline{\phantom{9}2520\phantom{99}}\\\phantom{360)99}2799\\\phantom{360)}\underline{\phantom{99}2520\phantom{9}}\\\phantom{360)999}2799\\\phantom{360)}\underline{\phantom{999}2520\phantom{}}\\\phantom{360)9999}279\\\end{array}
Find closest multiple of 360 to 2799. We see that 7 \times 360 = 2520 is the nearest. Now subtract 2520 from 2799 to get reminder 279. Add 7 to quotient.
\text{Quotient: }27777 \text{Reminder: }279
Since 279 is less than 360, stop the division. The reminder is 279. The topmost line 0027777 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27777.
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}