Evaluate
\frac{255563}{9315}\approx 27.435641439
Factor
\frac{7 \cdot 11 \cdot 3319}{3 ^ {4} \cdot 5 \cdot 23} = 27\frac{4058}{9315} = 27.43564143853999
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\begin{array}{l}\phantom{9315)}\phantom{1}\\9315\overline{)255563}\\\end{array}
Use the 1^{st} digit 2 from dividend 255563
\begin{array}{l}\phantom{9315)}0\phantom{2}\\9315\overline{)255563}\\\end{array}
Since 2 is less than 9315, use the next digit 5 from dividend 255563 and add 0 to the quotient
\begin{array}{l}\phantom{9315)}0\phantom{3}\\9315\overline{)255563}\\\end{array}
Use the 2^{nd} digit 5 from dividend 255563
\begin{array}{l}\phantom{9315)}00\phantom{4}\\9315\overline{)255563}\\\end{array}
Since 25 is less than 9315, use the next digit 5 from dividend 255563 and add 0 to the quotient
\begin{array}{l}\phantom{9315)}00\phantom{5}\\9315\overline{)255563}\\\end{array}
Use the 3^{rd} digit 5 from dividend 255563
\begin{array}{l}\phantom{9315)}000\phantom{6}\\9315\overline{)255563}\\\end{array}
Since 255 is less than 9315, use the next digit 5 from dividend 255563 and add 0 to the quotient
\begin{array}{l}\phantom{9315)}000\phantom{7}\\9315\overline{)255563}\\\end{array}
Use the 4^{th} digit 5 from dividend 255563
\begin{array}{l}\phantom{9315)}0000\phantom{8}\\9315\overline{)255563}\\\end{array}
Since 2555 is less than 9315, use the next digit 6 from dividend 255563 and add 0 to the quotient
\begin{array}{l}\phantom{9315)}0000\phantom{9}\\9315\overline{)255563}\\\end{array}
Use the 5^{th} digit 6 from dividend 255563
\begin{array}{l}\phantom{9315)}00002\phantom{10}\\9315\overline{)255563}\\\phantom{9315)}\underline{\phantom{}18630\phantom{9}}\\\phantom{9315)9}6926\\\end{array}
Find closest multiple of 9315 to 25556. We see that 2 \times 9315 = 18630 is the nearest. Now subtract 18630 from 25556 to get reminder 6926. Add 2 to quotient.
\begin{array}{l}\phantom{9315)}00002\phantom{11}\\9315\overline{)255563}\\\phantom{9315)}\underline{\phantom{}18630\phantom{9}}\\\phantom{9315)9}69263\\\end{array}
Use the 6^{th} digit 3 from dividend 255563
\begin{array}{l}\phantom{9315)}000027\phantom{12}\\9315\overline{)255563}\\\phantom{9315)}\underline{\phantom{}18630\phantom{9}}\\\phantom{9315)9}69263\\\phantom{9315)}\underline{\phantom{9}65205\phantom{}}\\\phantom{9315)99}4058\\\end{array}
Find closest multiple of 9315 to 69263. We see that 7 \times 9315 = 65205 is the nearest. Now subtract 65205 from 69263 to get reminder 4058. Add 7 to quotient.
\text{Quotient: }27 \text{Reminder: }4058
Since 4058 is less than 9315, stop the division. The reminder is 4058. The topmost line 000027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.
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}