Evaluate
\frac{21454}{15863}\approx 1.352455399
Factor
\frac{2 \cdot 17 \cdot 631}{29 \cdot 547} = 1\frac{5591}{15863} = 1.3524553993569943
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\begin{array}{l}\phantom{15863)}\phantom{1}\\15863\overline{)21454}\\\end{array}
Use the 1^{st} digit 2 from dividend 21454
\begin{array}{l}\phantom{15863)}0\phantom{2}\\15863\overline{)21454}\\\end{array}
Since 2 is less than 15863, use the next digit 1 from dividend 21454 and add 0 to the quotient
\begin{array}{l}\phantom{15863)}0\phantom{3}\\15863\overline{)21454}\\\end{array}
Use the 2^{nd} digit 1 from dividend 21454
\begin{array}{l}\phantom{15863)}00\phantom{4}\\15863\overline{)21454}\\\end{array}
Since 21 is less than 15863, use the next digit 4 from dividend 21454 and add 0 to the quotient
\begin{array}{l}\phantom{15863)}00\phantom{5}\\15863\overline{)21454}\\\end{array}
Use the 3^{rd} digit 4 from dividend 21454
\begin{array}{l}\phantom{15863)}000\phantom{6}\\15863\overline{)21454}\\\end{array}
Since 214 is less than 15863, use the next digit 5 from dividend 21454 and add 0 to the quotient
\begin{array}{l}\phantom{15863)}000\phantom{7}\\15863\overline{)21454}\\\end{array}
Use the 4^{th} digit 5 from dividend 21454
\begin{array}{l}\phantom{15863)}0000\phantom{8}\\15863\overline{)21454}\\\end{array}
Since 2145 is less than 15863, use the next digit 4 from dividend 21454 and add 0 to the quotient
\begin{array}{l}\phantom{15863)}0000\phantom{9}\\15863\overline{)21454}\\\end{array}
Use the 5^{th} digit 4 from dividend 21454
\begin{array}{l}\phantom{15863)}00001\phantom{10}\\15863\overline{)21454}\\\phantom{15863)}\underline{\phantom{}15863\phantom{}}\\\phantom{15863)9}5591\\\end{array}
Find closest multiple of 15863 to 21454. We see that 1 \times 15863 = 15863 is the nearest. Now subtract 15863 from 21454 to get reminder 5591. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }5591
Since 5591 is less than 15863, stop the division. The reminder is 5591. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}