Evaluate
\frac{443}{110}\approx 4.027272727
Factor
\frac{443}{2 \cdot 5 \cdot 11} = 4\frac{3}{110} = 4.027272727272727
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\begin{array}{l}\phantom{110)}\phantom{1}\\110\overline{)443}\\\end{array}
Use the 1^{st} digit 4 from dividend 443
\begin{array}{l}\phantom{110)}0\phantom{2}\\110\overline{)443}\\\end{array}
Since 4 is less than 110, use the next digit 4 from dividend 443 and add 0 to the quotient
\begin{array}{l}\phantom{110)}0\phantom{3}\\110\overline{)443}\\\end{array}
Use the 2^{nd} digit 4 from dividend 443
\begin{array}{l}\phantom{110)}00\phantom{4}\\110\overline{)443}\\\end{array}
Since 44 is less than 110, use the next digit 3 from dividend 443 and add 0 to the quotient
\begin{array}{l}\phantom{110)}00\phantom{5}\\110\overline{)443}\\\end{array}
Use the 3^{rd} digit 3 from dividend 443
\begin{array}{l}\phantom{110)}004\phantom{6}\\110\overline{)443}\\\phantom{110)}\underline{\phantom{}440\phantom{}}\\\phantom{110)99}3\\\end{array}
Find closest multiple of 110 to 443. We see that 4 \times 110 = 440 is the nearest. Now subtract 440 from 443 to get reminder 3. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }3
Since 3 is less than 110, stop the division. The reminder is 3. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}