Evaluate
\frac{4551}{209}\approx 21.775119617
Factor
\frac{3 \cdot 37 \cdot 41}{11 \cdot 19} = 21\frac{162}{209} = 21.77511961722488
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\begin{array}{l}\phantom{209)}\phantom{1}\\209\overline{)4551}\\\end{array}
Use the 1^{st} digit 4 from dividend 4551
\begin{array}{l}\phantom{209)}0\phantom{2}\\209\overline{)4551}\\\end{array}
Since 4 is less than 209, use the next digit 5 from dividend 4551 and add 0 to the quotient
\begin{array}{l}\phantom{209)}0\phantom{3}\\209\overline{)4551}\\\end{array}
Use the 2^{nd} digit 5 from dividend 4551
\begin{array}{l}\phantom{209)}00\phantom{4}\\209\overline{)4551}\\\end{array}
Since 45 is less than 209, use the next digit 5 from dividend 4551 and add 0 to the quotient
\begin{array}{l}\phantom{209)}00\phantom{5}\\209\overline{)4551}\\\end{array}
Use the 3^{rd} digit 5 from dividend 4551
\begin{array}{l}\phantom{209)}002\phantom{6}\\209\overline{)4551}\\\phantom{209)}\underline{\phantom{}418\phantom{9}}\\\phantom{209)9}37\\\end{array}
Find closest multiple of 209 to 455. We see that 2 \times 209 = 418 is the nearest. Now subtract 418 from 455 to get reminder 37. Add 2 to quotient.
\begin{array}{l}\phantom{209)}002\phantom{7}\\209\overline{)4551}\\\phantom{209)}\underline{\phantom{}418\phantom{9}}\\\phantom{209)9}371\\\end{array}
Use the 4^{th} digit 1 from dividend 4551
\begin{array}{l}\phantom{209)}0021\phantom{8}\\209\overline{)4551}\\\phantom{209)}\underline{\phantom{}418\phantom{9}}\\\phantom{209)9}371\\\phantom{209)}\underline{\phantom{9}209\phantom{}}\\\phantom{209)9}162\\\end{array}
Find closest multiple of 209 to 371. We see that 1 \times 209 = 209 is the nearest. Now subtract 209 from 371 to get reminder 162. Add 1 to quotient.
\text{Quotient: }21 \text{Reminder: }162
Since 162 is less than 209, stop the division. The reminder is 162. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.
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}