Evaluate
206
Factor
2\times 103
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)2884}\\\end{array}
Use the 1^{st} digit 2 from dividend 2884
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)2884}\\\end{array}
Since 2 is less than 14, use the next digit 8 from dividend 2884 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)2884}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2884
\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)2884}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)99}0\\\end{array}
Find closest multiple of 14 to 28. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 28 to get reminder 0. Add 2 to quotient.
\begin{array}{l}\phantom{14)}02\phantom{5}\\14\overline{)2884}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)99}8\\\end{array}
Use the 3^{rd} digit 8 from dividend 2884
\begin{array}{l}\phantom{14)}020\phantom{6}\\14\overline{)2884}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)99}8\\\end{array}
Since 8 is less than 14, use the next digit 4 from dividend 2884 and add 0 to the quotient
\begin{array}{l}\phantom{14)}020\phantom{7}\\14\overline{)2884}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)99}84\\\end{array}
Use the 4^{th} digit 4 from dividend 2884
\begin{array}{l}\phantom{14)}0206\phantom{8}\\14\overline{)2884}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)99}84\\\phantom{14)}\underline{\phantom{99}84\phantom{}}\\\phantom{14)9999}0\\\end{array}
Find closest multiple of 14 to 84. We see that 6 \times 14 = 84 is the nearest. Now subtract 84 from 84 to get reminder 0. Add 6 to quotient.
\text{Quotient: }206 \text{Reminder: }0
Since 0 is less than 14, stop the division. The reminder is 0. 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}