Evaluate
\frac{2406}{1205}\approx 1.996680498
Factor
\frac{2 \cdot 3 \cdot 401}{5 \cdot 241} = 1\frac{1201}{1205} = 1.9966804979253112
Share
Copied to clipboard
\begin{array}{l}\phantom{1205)}\phantom{1}\\1205\overline{)2406}\\\end{array}
Use the 1^{st} digit 2 from dividend 2406
\begin{array}{l}\phantom{1205)}0\phantom{2}\\1205\overline{)2406}\\\end{array}
Since 2 is less than 1205, use the next digit 4 from dividend 2406 and add 0 to the quotient
\begin{array}{l}\phantom{1205)}0\phantom{3}\\1205\overline{)2406}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2406
\begin{array}{l}\phantom{1205)}00\phantom{4}\\1205\overline{)2406}\\\end{array}
Since 24 is less than 1205, use the next digit 0 from dividend 2406 and add 0 to the quotient
\begin{array}{l}\phantom{1205)}00\phantom{5}\\1205\overline{)2406}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2406
\begin{array}{l}\phantom{1205)}000\phantom{6}\\1205\overline{)2406}\\\end{array}
Since 240 is less than 1205, use the next digit 6 from dividend 2406 and add 0 to the quotient
\begin{array}{l}\phantom{1205)}000\phantom{7}\\1205\overline{)2406}\\\end{array}
Use the 4^{th} digit 6 from dividend 2406
\begin{array}{l}\phantom{1205)}0001\phantom{8}\\1205\overline{)2406}\\\phantom{1205)}\underline{\phantom{}1205\phantom{}}\\\phantom{1205)}1201\\\end{array}
Find closest multiple of 1205 to 2406. We see that 1 \times 1205 = 1205 is the nearest. Now subtract 1205 from 2406 to get reminder 1201. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }1201
Since 1201 is less than 1205, stop the division. The reminder is 1201. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}