Evaluate
2002
Factor
2\times 7\times 11\times 13
Share
Copied to clipboard
\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)50050}\\\end{array}
Use the 1^{st} digit 5 from dividend 50050
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)50050}\\\end{array}
Since 5 is less than 25, use the next digit 0 from dividend 50050 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)50050}\\\end{array}
Use the 2^{nd} digit 0 from dividend 50050
\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)99}0\\\end{array}
Find closest multiple of 25 to 50. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 50 to get reminder 0. Add 2 to quotient.
\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)999}0\\\end{array}
Use the 3^{rd} digit 0 from dividend 50050
\begin{array}{l}\phantom{25)}020\phantom{6}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)999}0\\\end{array}
Since 0 is less than 25, use the next digit 5 from dividend 50050 and add 0 to the quotient
\begin{array}{l}\phantom{25)}020\phantom{7}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)999}5\\\end{array}
Use the 4^{th} digit 5 from dividend 50050
\begin{array}{l}\phantom{25)}0200\phantom{8}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)999}5\\\end{array}
Since 5 is less than 25, use the next digit 0 from dividend 50050 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0200\phantom{9}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)999}50\\\end{array}
Use the 5^{th} digit 0 from dividend 50050
\begin{array}{l}\phantom{25)}02002\phantom{10}\\25\overline{)50050}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)999}50\\\phantom{25)}\underline{\phantom{999}50\phantom{}}\\\phantom{25)99999}0\\\end{array}
Find closest multiple of 25 to 50. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 50 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2002 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 02002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2002.
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}