Evaluate
\frac{46}{5}=9.2
Factor
\frac{2 \cdot 23}{5} = 9\frac{1}{5} = 9.2
Share
Copied to clipboard
\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)184}\\\end{array}
Use the 1^{st} digit 1 from dividend 184
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)184}\\\end{array}
Since 1 is less than 20, use the next digit 8 from dividend 184 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)184}\\\end{array}
Use the 2^{nd} digit 8 from dividend 184
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)184}\\\end{array}
Since 18 is less than 20, use the next digit 4 from dividend 184 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)184}\\\end{array}
Use the 3^{rd} digit 4 from dividend 184
\begin{array}{l}\phantom{20)}009\phantom{6}\\20\overline{)184}\\\phantom{20)}\underline{\phantom{}180\phantom{}}\\\phantom{20)99}4\\\end{array}
Find closest multiple of 20 to 184. We see that 9 \times 20 = 180 is the nearest. Now subtract 180 from 184 to get reminder 4. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }4
Since 4 is less than 20, stop the division. The reminder is 4. The topmost line 009 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}