Evaluate
\frac{311}{11}\approx 28.272727273
Factor
\frac{311}{11} = 28\frac{3}{11} = 28.272727272727273
Share
Copied to clipboard
\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)1555}\\\end{array}
Use the 1^{st} digit 1 from dividend 1555
\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)1555}\\\end{array}
Since 1 is less than 55, use the next digit 5 from dividend 1555 and add 0 to the quotient
\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)1555}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1555
\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)1555}\\\end{array}
Since 15 is less than 55, use the next digit 5 from dividend 1555 and add 0 to the quotient
\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)1555}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1555
\begin{array}{l}\phantom{55)}002\phantom{6}\\55\overline{)1555}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)9}45\\\end{array}
Find closest multiple of 55 to 155. We see that 2 \times 55 = 110 is the nearest. Now subtract 110 from 155 to get reminder 45. Add 2 to quotient.
\begin{array}{l}\phantom{55)}002\phantom{7}\\55\overline{)1555}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)9}455\\\end{array}
Use the 4^{th} digit 5 from dividend 1555
\begin{array}{l}\phantom{55)}0028\phantom{8}\\55\overline{)1555}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)9}455\\\phantom{55)}\underline{\phantom{9}440\phantom{}}\\\phantom{55)99}15\\\end{array}
Find closest multiple of 55 to 455. We see that 8 \times 55 = 440 is the nearest. Now subtract 440 from 455 to get reminder 15. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }15
Since 15 is less than 55, stop the division. The reminder is 15. The topmost line 0028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}