Evaluate
\frac{263}{220}\approx 1.195454545
Factor
\frac{263}{2 ^ {2} \cdot 5 \cdot 11} = 1\frac{43}{220} = 1.1954545454545455
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\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)263}\\\end{array}
Use the 1^{st} digit 2 from dividend 263
\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)263}\\\end{array}
Since 2 is less than 220, use the next digit 6 from dividend 263 and add 0 to the quotient
\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)263}\\\end{array}
Use the 2^{nd} digit 6 from dividend 263
\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)263}\\\end{array}
Since 26 is less than 220, use the next digit 3 from dividend 263 and add 0 to the quotient
\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)263}\\\end{array}
Use the 3^{rd} digit 3 from dividend 263
\begin{array}{l}\phantom{220)}001\phantom{6}\\220\overline{)263}\\\phantom{220)}\underline{\phantom{}220\phantom{}}\\\phantom{220)9}43\\\end{array}
Find closest multiple of 220 to 263. We see that 1 \times 220 = 220 is the nearest. Now subtract 220 from 263 to get reminder 43. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }43
Since 43 is less than 220, stop the division. The reminder is 43. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}