Evaluate
9
Factor
3^{2}
Share
Copied to clipboard
\begin{array}{l}\phantom{275)}\phantom{1}\\275\overline{)2475}\\\end{array}
Use the 1^{st} digit 2 from dividend 2475
\begin{array}{l}\phantom{275)}0\phantom{2}\\275\overline{)2475}\\\end{array}
Since 2 is less than 275, use the next digit 4 from dividend 2475 and add 0 to the quotient
\begin{array}{l}\phantom{275)}0\phantom{3}\\275\overline{)2475}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2475
\begin{array}{l}\phantom{275)}00\phantom{4}\\275\overline{)2475}\\\end{array}
Since 24 is less than 275, use the next digit 7 from dividend 2475 and add 0 to the quotient
\begin{array}{l}\phantom{275)}00\phantom{5}\\275\overline{)2475}\\\end{array}
Use the 3^{rd} digit 7 from dividend 2475
\begin{array}{l}\phantom{275)}000\phantom{6}\\275\overline{)2475}\\\end{array}
Since 247 is less than 275, use the next digit 5 from dividend 2475 and add 0 to the quotient
\begin{array}{l}\phantom{275)}000\phantom{7}\\275\overline{)2475}\\\end{array}
Use the 4^{th} digit 5 from dividend 2475
\begin{array}{l}\phantom{275)}0009\phantom{8}\\275\overline{)2475}\\\phantom{275)}\underline{\phantom{}2475\phantom{}}\\\phantom{275)9999}0\\\end{array}
Find closest multiple of 275 to 2475. We see that 9 \times 275 = 2475 is the nearest. Now subtract 2475 from 2475 to get reminder 0. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }0
Since 0 is less than 275, stop the division. The reminder is 0. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}