Evaluate
\frac{1106}{125}=8.848
Factor
\frac{2 \cdot 7 \cdot 79}{5 ^ {3}} = 8\frac{106}{125} = 8.848
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)8848}\\\end{array}
Use the 1^{st} digit 8 from dividend 8848
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)8848}\\\end{array}
Since 8 is less than 1000, use the next digit 8 from dividend 8848 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)8848}\\\end{array}
Use the 2^{nd} digit 8 from dividend 8848
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)8848}\\\end{array}
Since 88 is less than 1000, use the next digit 4 from dividend 8848 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)8848}\\\end{array}
Use the 3^{rd} digit 4 from dividend 8848
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)8848}\\\end{array}
Since 884 is less than 1000, use the next digit 8 from dividend 8848 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)8848}\\\end{array}
Use the 4^{th} digit 8 from dividend 8848
\begin{array}{l}\phantom{1000)}0008\phantom{8}\\1000\overline{)8848}\\\phantom{1000)}\underline{\phantom{}8000\phantom{}}\\\phantom{1000)9}848\\\end{array}
Find closest multiple of 1000 to 8848. We see that 8 \times 1000 = 8000 is the nearest. Now subtract 8000 from 8848 to get reminder 848. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }848
Since 848 is less than 1000, stop the division. The reminder is 848. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}