Evaluate
\frac{159}{20}=7.95
Factor
\frac{3 \cdot 53}{2 ^ {2} \cdot 5} = 7\frac{19}{20} = 7.95
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)7950}\\\end{array}
Use the 1^{st} digit 7 from dividend 7950
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)7950}\\\end{array}
Since 7 is less than 1000, use the next digit 9 from dividend 7950 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)7950}\\\end{array}
Use the 2^{nd} digit 9 from dividend 7950
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)7950}\\\end{array}
Since 79 is less than 1000, use the next digit 5 from dividend 7950 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)7950}\\\end{array}
Use the 3^{rd} digit 5 from dividend 7950
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)7950}\\\end{array}
Since 795 is less than 1000, use the next digit 0 from dividend 7950 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)7950}\\\end{array}
Use the 4^{th} digit 0 from dividend 7950
\begin{array}{l}\phantom{1000)}0007\phantom{8}\\1000\overline{)7950}\\\phantom{1000)}\underline{\phantom{}7000\phantom{}}\\\phantom{1000)9}950\\\end{array}
Find closest multiple of 1000 to 7950. We see that 7 \times 1000 = 7000 is the nearest. Now subtract 7000 from 7950 to get reminder 950. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }950
Since 950 is less than 1000, stop the division. The reminder is 950. The topmost line 0007 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}