1104 \%
Evaluate
\frac{276}{25}=11.04
Factor
\frac{2 ^ {2} \cdot 3 \cdot 23}{5 ^ {2}} = 11\frac{1}{25} = 11.04
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1104}\\\end{array}
Use the 1^{st} digit 1 from dividend 1104
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1104}\\\end{array}
Since 1 is less than 100, use the next digit 1 from dividend 1104 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1104}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1104
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1104}\\\end{array}
Since 11 is less than 100, use the next digit 0 from dividend 1104 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1104}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1104
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1104}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}10\\\end{array}
Find closest multiple of 100 to 110. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 110 to get reminder 10. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1104}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}104\\\end{array}
Use the 4^{th} digit 4 from dividend 1104
\begin{array}{l}\phantom{100)}0011\phantom{8}\\100\overline{)1104}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}104\\\phantom{100)}\underline{\phantom{9}100\phantom{}}\\\phantom{100)999}4\\\end{array}
Find closest multiple of 100 to 104. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 104 to get reminder 4. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }4
Since 4 is less than 100, stop the division. The reminder is 4. 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}