Evaluate
\frac{49}{10}=4.9
Factor
\frac{7 ^ {2}}{2 \cdot 5} = 4\frac{9}{10} = 4.9
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)4900}\\\end{array}
Use the 1^{st} digit 4 from dividend 4900
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)4900}\\\end{array}
Since 4 is less than 1000, use the next digit 9 from dividend 4900 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)4900}\\\end{array}
Use the 2^{nd} digit 9 from dividend 4900
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)4900}\\\end{array}
Since 49 is less than 1000, use the next digit 0 from dividend 4900 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)4900}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4900
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)4900}\\\end{array}
Since 490 is less than 1000, use the next digit 0 from dividend 4900 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)4900}\\\end{array}
Use the 4^{th} digit 0 from dividend 4900
\begin{array}{l}\phantom{1000)}0004\phantom{8}\\1000\overline{)4900}\\\phantom{1000)}\underline{\phantom{}4000\phantom{}}\\\phantom{1000)9}900\\\end{array}
Find closest multiple of 1000 to 4900. We see that 4 \times 1000 = 4000 is the nearest. Now subtract 4000 from 4900 to get reminder 900. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }900
Since 900 is less than 1000, stop the division. The reminder is 900. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}