Evaluate
\frac{11825}{3}\approx 3941.666666667
Factor
\frac{5 ^ {2} \cdot 11 \cdot 43}{3} = 3941\frac{2}{3} = 3941.6666666666665
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)47300}\\\end{array}
Use the 1^{st} digit 4 from dividend 47300
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)47300}\\\end{array}
Since 4 is less than 12, use the next digit 7 from dividend 47300 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)47300}\\\end{array}
Use the 2^{nd} digit 7 from dividend 47300
\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}11\\\end{array}
Find closest multiple of 12 to 47. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 47 to get reminder 11. Add 3 to quotient.
\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}113\\\end{array}
Use the 3^{rd} digit 3 from dividend 47300
\begin{array}{l}\phantom{12)}039\phantom{6}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}5\\\end{array}
Find closest multiple of 12 to 113. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 113 to get reminder 5. Add 9 to quotient.
\begin{array}{l}\phantom{12)}039\phantom{7}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}50\\\end{array}
Use the 4^{th} digit 0 from dividend 47300
\begin{array}{l}\phantom{12)}0394\phantom{8}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}50\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}2\\\end{array}
Find closest multiple of 12 to 50. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 50 to get reminder 2. Add 4 to quotient.
\begin{array}{l}\phantom{12)}0394\phantom{9}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}50\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}20\\\end{array}
Use the 5^{th} digit 0 from dividend 47300
\begin{array}{l}\phantom{12)}03941\phantom{10}\\12\overline{)47300}\\\phantom{12)}\underline{\phantom{}36\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}50\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}20\\\phantom{12)}\underline{\phantom{999}12\phantom{}}\\\phantom{12)9999}8\\\end{array}
Find closest multiple of 12 to 20. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 20 to get reminder 8. Add 1 to quotient.
\text{Quotient: }3941 \text{Reminder: }8
Since 8 is less than 12, stop the division. The reminder is 8. The topmost line 03941 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3941.
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}