Evaluate
13
Factor
13
Share
Copied to clipboard
\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)6500}\\\end{array}
Use the 1^{st} digit 6 from dividend 6500
\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)6500}\\\end{array}
Since 6 is less than 500, use the next digit 5 from dividend 6500 and add 0 to the quotient
\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)6500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 6500
\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)6500}\\\end{array}
Since 65 is less than 500, use the next digit 0 from dividend 6500 and add 0 to the quotient
\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)6500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6500
\begin{array}{l}\phantom{500)}001\phantom{6}\\500\overline{)6500}\\\phantom{500)}\underline{\phantom{}500\phantom{9}}\\\phantom{500)}150\\\end{array}
Find closest multiple of 500 to 650. We see that 1 \times 500 = 500 is the nearest. Now subtract 500 from 650 to get reminder 150. Add 1 to quotient.
\begin{array}{l}\phantom{500)}001\phantom{7}\\500\overline{)6500}\\\phantom{500)}\underline{\phantom{}500\phantom{9}}\\\phantom{500)}1500\\\end{array}
Use the 4^{th} digit 0 from dividend 6500
\begin{array}{l}\phantom{500)}0013\phantom{8}\\500\overline{)6500}\\\phantom{500)}\underline{\phantom{}500\phantom{9}}\\\phantom{500)}1500\\\phantom{500)}\underline{\phantom{}1500\phantom{}}\\\phantom{500)9999}0\\\end{array}
Find closest multiple of 500 to 1500. We see that 3 \times 500 = 1500 is the nearest. Now subtract 1500 from 1500 to get reminder 0. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }0
Since 0 is less than 500, stop the division. The reminder is 0. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}