Evaluate
\frac{111}{14}\approx 7.928571429
Factor
\frac{3 \cdot 37}{2 \cdot 7} = 7\frac{13}{14} = 7.928571428571429
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\begin{array}{l}\phantom{112)}\phantom{1}\\112\overline{)888}\\\end{array}
Use the 1^{st} digit 8 from dividend 888
\begin{array}{l}\phantom{112)}0\phantom{2}\\112\overline{)888}\\\end{array}
Since 8 is less than 112, use the next digit 8 from dividend 888 and add 0 to the quotient
\begin{array}{l}\phantom{112)}0\phantom{3}\\112\overline{)888}\\\end{array}
Use the 2^{nd} digit 8 from dividend 888
\begin{array}{l}\phantom{112)}00\phantom{4}\\112\overline{)888}\\\end{array}
Since 88 is less than 112, use the next digit 8 from dividend 888 and add 0 to the quotient
\begin{array}{l}\phantom{112)}00\phantom{5}\\112\overline{)888}\\\end{array}
Use the 3^{rd} digit 8 from dividend 888
\begin{array}{l}\phantom{112)}007\phantom{6}\\112\overline{)888}\\\phantom{112)}\underline{\phantom{}784\phantom{}}\\\phantom{112)}104\\\end{array}
Find closest multiple of 112 to 888. We see that 7 \times 112 = 784 is the nearest. Now subtract 784 from 888 to get reminder 104. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }104
Since 104 is less than 112, stop the division. The reminder is 104. 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}