Evaluate
\frac{11309}{50}=226.18
Factor
\frac{43 \cdot 263}{2 \cdot 5 ^ {2}} = 226\frac{9}{50} = 226.18
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)22618}\\\end{array}
Use the 1^{st} digit 2 from dividend 22618
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)22618}\\\end{array}
Since 2 is less than 100, use the next digit 2 from dividend 22618 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)22618}\\\end{array}
Use the 2^{nd} digit 2 from dividend 22618
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)22618}\\\end{array}
Since 22 is less than 100, use the next digit 6 from dividend 22618 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)22618}\\\end{array}
Use the 3^{rd} digit 6 from dividend 22618
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)22618}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}26\\\end{array}
Find closest multiple of 100 to 226. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 226 to get reminder 26. Add 2 to quotient.
\begin{array}{l}\phantom{100)}002\phantom{7}\\100\overline{)22618}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}261\\\end{array}
Use the 4^{th} digit 1 from dividend 22618
\begin{array}{l}\phantom{100)}0022\phantom{8}\\100\overline{)22618}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}261\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}61\\\end{array}
Find closest multiple of 100 to 261. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 261 to get reminder 61. Add 2 to quotient.
\begin{array}{l}\phantom{100)}0022\phantom{9}\\100\overline{)22618}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}261\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}618\\\end{array}
Use the 5^{th} digit 8 from dividend 22618
\begin{array}{l}\phantom{100)}00226\phantom{10}\\100\overline{)22618}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}261\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}618\\\phantom{100)}\underline{\phantom{99}600\phantom{}}\\\phantom{100)999}18\\\end{array}
Find closest multiple of 100 to 618. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 618 to get reminder 18. Add 6 to quotient.
\text{Quotient: }226 \text{Reminder: }18
Since 18 is less than 100, stop the division. The reminder is 18. The topmost line 00226 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 226.
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}