Evaluate
\frac{9}{2}=4.5
Factor
\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5
Share
Copied to clipboard
\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)117}\\\end{array}
Use the 1^{st} digit 1 from dividend 117
\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)117}\\\end{array}
Since 1 is less than 26, use the next digit 1 from dividend 117 and add 0 to the quotient
\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)117}\\\end{array}
Use the 2^{nd} digit 1 from dividend 117
\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)117}\\\end{array}
Since 11 is less than 26, use the next digit 7 from dividend 117 and add 0 to the quotient
\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)117}\\\end{array}
Use the 3^{rd} digit 7 from dividend 117
\begin{array}{l}\phantom{26)}004\phantom{6}\\26\overline{)117}\\\phantom{26)}\underline{\phantom{}104\phantom{}}\\\phantom{26)9}13\\\end{array}
Find closest multiple of 26 to 117. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 117 to get reminder 13. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }13
Since 13 is less than 26, stop the division. The reminder is 13. The topmost line 004 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}