Evaluate
\frac{55}{7}\approx 7.857142857
Factor
\frac{5 \cdot 11}{7} = 7\frac{6}{7} = 7.857142857142857
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)110}\\\end{array}
Use the 1^{st} digit 1 from dividend 110
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)110}\\\end{array}
Since 1 is less than 14, use the next digit 1 from dividend 110 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)110}\\\end{array}
Use the 2^{nd} digit 1 from dividend 110
\begin{array}{l}\phantom{14)}00\phantom{4}\\14\overline{)110}\\\end{array}
Since 11 is less than 14, use the next digit 0 from dividend 110 and add 0 to the quotient
\begin{array}{l}\phantom{14)}00\phantom{5}\\14\overline{)110}\\\end{array}
Use the 3^{rd} digit 0 from dividend 110
\begin{array}{l}\phantom{14)}007\phantom{6}\\14\overline{)110}\\\phantom{14)}\underline{\phantom{9}98\phantom{}}\\\phantom{14)9}12\\\end{array}
Find closest multiple of 14 to 110. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 110 to get reminder 12. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }12
Since 12 is less than 14, stop the division. The reminder is 12. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}