Evaluate
45
Factor
3^{2}\times 5
Share
Copied to clipboard
\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)1620}\\\end{array}
Use the 1^{st} digit 1 from dividend 1620
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)1620}\\\end{array}
Since 1 is less than 36, use the next digit 6 from dividend 1620 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)1620}\\\end{array}
Use the 2^{nd} digit 6 from dividend 1620
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)1620}\\\end{array}
Since 16 is less than 36, use the next digit 2 from dividend 1620 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)1620}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1620
\begin{array}{l}\phantom{36)}004\phantom{6}\\36\overline{)1620}\\\phantom{36)}\underline{\phantom{}144\phantom{9}}\\\phantom{36)9}18\\\end{array}
Find closest multiple of 36 to 162. We see that 4 \times 36 = 144 is the nearest. Now subtract 144 from 162 to get reminder 18. Add 4 to quotient.
\begin{array}{l}\phantom{36)}004\phantom{7}\\36\overline{)1620}\\\phantom{36)}\underline{\phantom{}144\phantom{9}}\\\phantom{36)9}180\\\end{array}
Use the 4^{th} digit 0 from dividend 1620
\begin{array}{l}\phantom{36)}0045\phantom{8}\\36\overline{)1620}\\\phantom{36)}\underline{\phantom{}144\phantom{9}}\\\phantom{36)9}180\\\phantom{36)}\underline{\phantom{9}180\phantom{}}\\\phantom{36)9999}0\\\end{array}
Find closest multiple of 36 to 180. We see that 5 \times 36 = 180 is the nearest. Now subtract 180 from 180 to get reminder 0. Add 5 to quotient.
\text{Quotient: }45 \text{Reminder: }0
Since 0 is less than 36, stop the division. The reminder is 0. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.
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}