Evaluate
55
Factor
5\times 11
Share
Copied to clipboard
\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)4950}\\\end{array}
Use the 1^{st} digit 4 from dividend 4950
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)4950}\\\end{array}
Since 4 is less than 90, use the next digit 9 from dividend 4950 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)4950}\\\end{array}
Use the 2^{nd} digit 9 from dividend 4950
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)4950}\\\end{array}
Since 49 is less than 90, use the next digit 5 from dividend 4950 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)4950}\\\end{array}
Use the 3^{rd} digit 5 from dividend 4950
\begin{array}{l}\phantom{90)}005\phantom{6}\\90\overline{)4950}\\\phantom{90)}\underline{\phantom{}450\phantom{9}}\\\phantom{90)9}45\\\end{array}
Find closest multiple of 90 to 495. We see that 5 \times 90 = 450 is the nearest. Now subtract 450 from 495 to get reminder 45. Add 5 to quotient.
\begin{array}{l}\phantom{90)}005\phantom{7}\\90\overline{)4950}\\\phantom{90)}\underline{\phantom{}450\phantom{9}}\\\phantom{90)9}450\\\end{array}
Use the 4^{th} digit 0 from dividend 4950
\begin{array}{l}\phantom{90)}0055\phantom{8}\\90\overline{)4950}\\\phantom{90)}\underline{\phantom{}450\phantom{9}}\\\phantom{90)9}450\\\phantom{90)}\underline{\phantom{9}450\phantom{}}\\\phantom{90)9999}0\\\end{array}
Find closest multiple of 90 to 450. We see that 5 \times 90 = 450 is the nearest. Now subtract 450 from 450 to get reminder 0. Add 5 to quotient.
\text{Quotient: }55 \text{Reminder: }0
Since 0 is less than 90, stop the division. The reminder is 0. The topmost line 0055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.
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}