Evaluate
\frac{125}{11}\approx 11.363636364
Factor
\frac{5 ^ {3}}{11} = 11\frac{4}{11} = 11.363636363636363
Share
Copied to clipboard
\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)2500}\\\end{array}
Use the 1^{st} digit 2 from dividend 2500
\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)2500}\\\end{array}
Since 2 is less than 220, use the next digit 5 from dividend 2500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)2500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2500
\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)2500}\\\end{array}
Since 25 is less than 220, use the next digit 0 from dividend 2500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)2500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2500
\begin{array}{l}\phantom{220)}001\phantom{6}\\220\overline{)2500}\\\phantom{220)}\underline{\phantom{}220\phantom{9}}\\\phantom{220)9}30\\\end{array}
Find closest multiple of 220 to 250. We see that 1 \times 220 = 220 is the nearest. Now subtract 220 from 250 to get reminder 30. Add 1 to quotient.
\begin{array}{l}\phantom{220)}001\phantom{7}\\220\overline{)2500}\\\phantom{220)}\underline{\phantom{}220\phantom{9}}\\\phantom{220)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 2500
\begin{array}{l}\phantom{220)}0011\phantom{8}\\220\overline{)2500}\\\phantom{220)}\underline{\phantom{}220\phantom{9}}\\\phantom{220)9}300\\\phantom{220)}\underline{\phantom{9}220\phantom{}}\\\phantom{220)99}80\\\end{array}
Find closest multiple of 220 to 300. We see that 1 \times 220 = 220 is the nearest. Now subtract 220 from 300 to get reminder 80. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }80
Since 80 is less than 220, stop the division. The reminder is 80. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}