Evaluate
\frac{75}{11}\approx 6.818181818
Factor
\frac{3 \cdot 5 ^ {2}}{11} = 6\frac{9}{11} = 6.818181818181818
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\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)1500}\\\end{array}
Use the 1^{st} digit 1 from dividend 1500
\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)1500}\\\end{array}
Since 1 is less than 220, use the next digit 5 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)1500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1500
\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)1500}\\\end{array}
Since 15 is less than 220, use the next digit 0 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)1500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1500
\begin{array}{l}\phantom{220)}000\phantom{6}\\220\overline{)1500}\\\end{array}
Since 150 is less than 220, use the next digit 0 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}000\phantom{7}\\220\overline{)1500}\\\end{array}
Use the 4^{th} digit 0 from dividend 1500
\begin{array}{l}\phantom{220)}0006\phantom{8}\\220\overline{)1500}\\\phantom{220)}\underline{\phantom{}1320\phantom{}}\\\phantom{220)9}180\\\end{array}
Find closest multiple of 220 to 1500. We see that 6 \times 220 = 1320 is the nearest. Now subtract 1320 from 1500 to get reminder 180. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }180
Since 180 is less than 220, stop the division. The reminder is 180. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}