Evaluate
46
Factor
2\times 23
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\begin{array}{l}\phantom{616)}\phantom{1}\\616\overline{)28336}\\\end{array}
Use the 1^{st} digit 2 from dividend 28336
\begin{array}{l}\phantom{616)}0\phantom{2}\\616\overline{)28336}\\\end{array}
Since 2 is less than 616, use the next digit 8 from dividend 28336 and add 0 to the quotient
\begin{array}{l}\phantom{616)}0\phantom{3}\\616\overline{)28336}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28336
\begin{array}{l}\phantom{616)}00\phantom{4}\\616\overline{)28336}\\\end{array}
Since 28 is less than 616, use the next digit 3 from dividend 28336 and add 0 to the quotient
\begin{array}{l}\phantom{616)}00\phantom{5}\\616\overline{)28336}\\\end{array}
Use the 3^{rd} digit 3 from dividend 28336
\begin{array}{l}\phantom{616)}000\phantom{6}\\616\overline{)28336}\\\end{array}
Since 283 is less than 616, use the next digit 3 from dividend 28336 and add 0 to the quotient
\begin{array}{l}\phantom{616)}000\phantom{7}\\616\overline{)28336}\\\end{array}
Use the 4^{th} digit 3 from dividend 28336
\begin{array}{l}\phantom{616)}0004\phantom{8}\\616\overline{)28336}\\\phantom{616)}\underline{\phantom{}2464\phantom{9}}\\\phantom{616)9}369\\\end{array}
Find closest multiple of 616 to 2833. We see that 4 \times 616 = 2464 is the nearest. Now subtract 2464 from 2833 to get reminder 369. Add 4 to quotient.
\begin{array}{l}\phantom{616)}0004\phantom{9}\\616\overline{)28336}\\\phantom{616)}\underline{\phantom{}2464\phantom{9}}\\\phantom{616)9}3696\\\end{array}
Use the 5^{th} digit 6 from dividend 28336
\begin{array}{l}\phantom{616)}00046\phantom{10}\\616\overline{)28336}\\\phantom{616)}\underline{\phantom{}2464\phantom{9}}\\\phantom{616)9}3696\\\phantom{616)}\underline{\phantom{9}3696\phantom{}}\\\phantom{616)99999}0\\\end{array}
Find closest multiple of 616 to 3696. We see that 6 \times 616 = 3696 is the nearest. Now subtract 3696 from 3696 to get reminder 0. Add 6 to quotient.
\text{Quotient: }46 \text{Reminder: }0
Since 0 is less than 616, stop the division. The reminder is 0. The topmost line 00046 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 46.
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}