Evaluate
\frac{12927}{1712}\approx 7.550817757
Factor
\frac{3 \cdot 31 \cdot 139}{2 ^ {4} \cdot 107} = 7\frac{943}{1712} = 7.550817757009346
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\begin{array}{l}\phantom{1712)}\phantom{1}\\1712\overline{)12927}\\\end{array}
Use the 1^{st} digit 1 from dividend 12927
\begin{array}{l}\phantom{1712)}0\phantom{2}\\1712\overline{)12927}\\\end{array}
Since 1 is less than 1712, use the next digit 2 from dividend 12927 and add 0 to the quotient
\begin{array}{l}\phantom{1712)}0\phantom{3}\\1712\overline{)12927}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12927
\begin{array}{l}\phantom{1712)}00\phantom{4}\\1712\overline{)12927}\\\end{array}
Since 12 is less than 1712, use the next digit 9 from dividend 12927 and add 0 to the quotient
\begin{array}{l}\phantom{1712)}00\phantom{5}\\1712\overline{)12927}\\\end{array}
Use the 3^{rd} digit 9 from dividend 12927
\begin{array}{l}\phantom{1712)}000\phantom{6}\\1712\overline{)12927}\\\end{array}
Since 129 is less than 1712, use the next digit 2 from dividend 12927 and add 0 to the quotient
\begin{array}{l}\phantom{1712)}000\phantom{7}\\1712\overline{)12927}\\\end{array}
Use the 4^{th} digit 2 from dividend 12927
\begin{array}{l}\phantom{1712)}0000\phantom{8}\\1712\overline{)12927}\\\end{array}
Since 1292 is less than 1712, use the next digit 7 from dividend 12927 and add 0 to the quotient
\begin{array}{l}\phantom{1712)}0000\phantom{9}\\1712\overline{)12927}\\\end{array}
Use the 5^{th} digit 7 from dividend 12927
\begin{array}{l}\phantom{1712)}00007\phantom{10}\\1712\overline{)12927}\\\phantom{1712)}\underline{\phantom{}11984\phantom{}}\\\phantom{1712)99}943\\\end{array}
Find closest multiple of 1712 to 12927. We see that 7 \times 1712 = 11984 is the nearest. Now subtract 11984 from 12927 to get reminder 943. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }943
Since 943 is less than 1712, stop the division. The reminder is 943. The topmost line 00007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}