Evaluate
\frac{1241}{6}\approx 206.833333333
Factor
\frac{17 \cdot 73}{2 \cdot 3} = 206\frac{5}{6} = 206.83333333333334
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)2482}\\\end{array}
Use the 1^{st} digit 2 from dividend 2482
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)2482}\\\end{array}
Since 2 is less than 12, use the next digit 4 from dividend 2482 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)2482}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2482
\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)2482}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)99}0\\\end{array}
Find closest multiple of 12 to 24. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 24 to get reminder 0. Add 2 to quotient.
\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)2482}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)99}8\\\end{array}
Use the 3^{rd} digit 8 from dividend 2482
\begin{array}{l}\phantom{12)}020\phantom{6}\\12\overline{)2482}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)99}8\\\end{array}
Since 8 is less than 12, use the next digit 2 from dividend 2482 and add 0 to the quotient
\begin{array}{l}\phantom{12)}020\phantom{7}\\12\overline{)2482}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)99}82\\\end{array}
Use the 4^{th} digit 2 from dividend 2482
\begin{array}{l}\phantom{12)}0206\phantom{8}\\12\overline{)2482}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)99}82\\\phantom{12)}\underline{\phantom{99}72\phantom{}}\\\phantom{12)99}10\\\end{array}
Find closest multiple of 12 to 82. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 82 to get reminder 10. Add 6 to quotient.
\text{Quotient: }206 \text{Reminder: }10
Since 10 is less than 12, stop the division. The reminder is 10. The topmost line 0206 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 206.
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}