Evaluate
849
Factor
3\times 283
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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)309885}\\\end{array}
Use the 1^{st} digit 3 from dividend 309885
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)309885}\\\end{array}
Since 3 is less than 365, use the next digit 0 from dividend 309885 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)309885}\\\end{array}
Use the 2^{nd} digit 0 from dividend 309885
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)309885}\\\end{array}
Since 30 is less than 365, use the next digit 9 from dividend 309885 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)309885}\\\end{array}
Use the 3^{rd} digit 9 from dividend 309885
\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)309885}\\\end{array}
Since 309 is less than 365, use the next digit 8 from dividend 309885 and add 0 to the quotient
\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)309885}\\\end{array}
Use the 4^{th} digit 8 from dividend 309885
\begin{array}{l}\phantom{365)}0008\phantom{8}\\365\overline{)309885}\\\phantom{365)}\underline{\phantom{}2920\phantom{99}}\\\phantom{365)9}178\\\end{array}
Find closest multiple of 365 to 3098. We see that 8 \times 365 = 2920 is the nearest. Now subtract 2920 from 3098 to get reminder 178. Add 8 to quotient.
\begin{array}{l}\phantom{365)}0008\phantom{9}\\365\overline{)309885}\\\phantom{365)}\underline{\phantom{}2920\phantom{99}}\\\phantom{365)9}1788\\\end{array}
Use the 5^{th} digit 8 from dividend 309885
\begin{array}{l}\phantom{365)}00084\phantom{10}\\365\overline{)309885}\\\phantom{365)}\underline{\phantom{}2920\phantom{99}}\\\phantom{365)9}1788\\\phantom{365)}\underline{\phantom{9}1460\phantom{9}}\\\phantom{365)99}328\\\end{array}
Find closest multiple of 365 to 1788. We see that 4 \times 365 = 1460 is the nearest. Now subtract 1460 from 1788 to get reminder 328. Add 4 to quotient.
\begin{array}{l}\phantom{365)}00084\phantom{11}\\365\overline{)309885}\\\phantom{365)}\underline{\phantom{}2920\phantom{99}}\\\phantom{365)9}1788\\\phantom{365)}\underline{\phantom{9}1460\phantom{9}}\\\phantom{365)99}3285\\\end{array}
Use the 6^{th} digit 5 from dividend 309885
\begin{array}{l}\phantom{365)}000849\phantom{12}\\365\overline{)309885}\\\phantom{365)}\underline{\phantom{}2920\phantom{99}}\\\phantom{365)9}1788\\\phantom{365)}\underline{\phantom{9}1460\phantom{9}}\\\phantom{365)99}3285\\\phantom{365)}\underline{\phantom{99}3285\phantom{}}\\\phantom{365)999999}0\\\end{array}
Find closest multiple of 365 to 3285. We see that 9 \times 365 = 3285 is the nearest. Now subtract 3285 from 3285 to get reminder 0. Add 9 to quotient.
\text{Quotient: }849 \text{Reminder: }0
Since 0 is less than 365, stop the division. The reminder is 0. The topmost line 000849 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 849.
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}