Evaluate
2205
Factor
3^{2}\times 5\times 7^{2}
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)220500}\\\end{array}
Use the 1^{st} digit 2 from dividend 220500
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)220500}\\\end{array}
Since 2 is less than 100, use the next digit 2 from dividend 220500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)220500}\\\end{array}
Use the 2^{nd} digit 2 from dividend 220500
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)220500}\\\end{array}
Since 22 is less than 100, use the next digit 0 from dividend 220500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)220500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 220500
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}20\\\end{array}
Find closest multiple of 100 to 220. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 220 to get reminder 20. Add 2 to quotient.
\begin{array}{l}\phantom{100)}002\phantom{7}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}205\\\end{array}
Use the 4^{th} digit 5 from dividend 220500
\begin{array}{l}\phantom{100)}0022\phantom{8}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}205\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)999}5\\\end{array}
Find closest multiple of 100 to 205. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 205 to get reminder 5. Add 2 to quotient.
\begin{array}{l}\phantom{100)}0022\phantom{9}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}205\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)999}50\\\end{array}
Use the 5^{th} digit 0 from dividend 220500
\begin{array}{l}\phantom{100)}00220\phantom{10}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}205\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)999}50\\\end{array}
Since 50 is less than 100, use the next digit 0 from dividend 220500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00220\phantom{11}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}205\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)999}500\\\end{array}
Use the 6^{th} digit 0 from dividend 220500
\begin{array}{l}\phantom{100)}002205\phantom{12}\\100\overline{)220500}\\\phantom{100)}\underline{\phantom{}200\phantom{999}}\\\phantom{100)9}205\\\phantom{100)}\underline{\phantom{9}200\phantom{99}}\\\phantom{100)999}500\\\phantom{100)}\underline{\phantom{999}500\phantom{}}\\\phantom{100)999999}0\\\end{array}
Find closest multiple of 100 to 500. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 5 to quotient.
\text{Quotient: }2205 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 002205 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2205.
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}