Evaluate
\frac{351}{82}\approx 4.280487805
Factor
\frac{3 ^ {3} \cdot 13}{2 \cdot 41} = 4\frac{23}{82} = 4.280487804878049
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\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)351}\\\end{array}
Use the 1^{st} digit 3 from dividend 351
\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)351}\\\end{array}
Since 3 is less than 82, use the next digit 5 from dividend 351 and add 0 to the quotient
\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)351}\\\end{array}
Use the 2^{nd} digit 5 from dividend 351
\begin{array}{l}\phantom{82)}00\phantom{4}\\82\overline{)351}\\\end{array}
Since 35 is less than 82, use the next digit 1 from dividend 351 and add 0 to the quotient
\begin{array}{l}\phantom{82)}00\phantom{5}\\82\overline{)351}\\\end{array}
Use the 3^{rd} digit 1 from dividend 351
\begin{array}{l}\phantom{82)}004\phantom{6}\\82\overline{)351}\\\phantom{82)}\underline{\phantom{}328\phantom{}}\\\phantom{82)9}23\\\end{array}
Find closest multiple of 82 to 351. We see that 4 \times 82 = 328 is the nearest. Now subtract 328 from 351 to get reminder 23. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }23
Since 23 is less than 82, stop the division. The reminder is 23. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}