Evaluate
\frac{28}{5}=5.6
Factor
\frac{2 ^ {2} \cdot 7}{5} = 5\frac{3}{5} = 5.6
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)5600}\\\end{array}
Use the 1^{st} digit 5 from dividend 5600
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)5600}\\\end{array}
Since 5 is less than 1000, use the next digit 6 from dividend 5600 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)5600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 5600
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)5600}\\\end{array}
Since 56 is less than 1000, use the next digit 0 from dividend 5600 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)5600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 5600
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)5600}\\\end{array}
Since 560 is less than 1000, use the next digit 0 from dividend 5600 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)5600}\\\end{array}
Use the 4^{th} digit 0 from dividend 5600
\begin{array}{l}\phantom{1000)}0005\phantom{8}\\1000\overline{)5600}\\\phantom{1000)}\underline{\phantom{}5000\phantom{}}\\\phantom{1000)9}600\\\end{array}
Find closest multiple of 1000 to 5600. We see that 5 \times 1000 = 5000 is the nearest. Now subtract 5000 from 5600 to get reminder 600. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }600
Since 600 is less than 1000, stop the division. The reminder is 600. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}