Evaluate
\frac{220}{3}\approx 73.333333333
Factor
\frac{2 ^ {2} \cdot 5 \cdot 11}{3} = 73\frac{1}{3} = 73.33333333333333
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)4400}\\\end{array}
Use the 1^{st} digit 4 from dividend 4400
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)4400}\\\end{array}
Since 4 is less than 60, use the next digit 4 from dividend 4400 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)4400}\\\end{array}
Use the 2^{nd} digit 4 from dividend 4400
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)4400}\\\end{array}
Since 44 is less than 60, use the next digit 0 from dividend 4400 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)4400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4400
\begin{array}{l}\phantom{60)}007\phantom{6}\\60\overline{)4400}\\\phantom{60)}\underline{\phantom{}420\phantom{9}}\\\phantom{60)9}20\\\end{array}
Find closest multiple of 60 to 440. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 440 to get reminder 20. Add 7 to quotient.
\begin{array}{l}\phantom{60)}007\phantom{7}\\60\overline{)4400}\\\phantom{60)}\underline{\phantom{}420\phantom{9}}\\\phantom{60)9}200\\\end{array}
Use the 4^{th} digit 0 from dividend 4400
\begin{array}{l}\phantom{60)}0073\phantom{8}\\60\overline{)4400}\\\phantom{60)}\underline{\phantom{}420\phantom{9}}\\\phantom{60)9}200\\\phantom{60)}\underline{\phantom{9}180\phantom{}}\\\phantom{60)99}20\\\end{array}
Find closest multiple of 60 to 200. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 3 to quotient.
\text{Quotient: }73 \text{Reminder: }20
Since 20 is less than 60, stop the division. The reminder is 20. The topmost line 0073 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 73.
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}