Evaluate
\frac{153}{82}\approx 1.865853659
Factor
\frac{3 ^ {2} \cdot 17}{2 \cdot 41} = 1\frac{71}{82} = 1.8658536585365855
Share
Copied to clipboard
\begin{array}{l}\phantom{328)}\phantom{1}\\328\overline{)612}\\\end{array}
Use the 1^{st} digit 6 from dividend 612
\begin{array}{l}\phantom{328)}0\phantom{2}\\328\overline{)612}\\\end{array}
Since 6 is less than 328, use the next digit 1 from dividend 612 and add 0 to the quotient
\begin{array}{l}\phantom{328)}0\phantom{3}\\328\overline{)612}\\\end{array}
Use the 2^{nd} digit 1 from dividend 612
\begin{array}{l}\phantom{328)}00\phantom{4}\\328\overline{)612}\\\end{array}
Since 61 is less than 328, use the next digit 2 from dividend 612 and add 0 to the quotient
\begin{array}{l}\phantom{328)}00\phantom{5}\\328\overline{)612}\\\end{array}
Use the 3^{rd} digit 2 from dividend 612
\begin{array}{l}\phantom{328)}001\phantom{6}\\328\overline{)612}\\\phantom{328)}\underline{\phantom{}328\phantom{}}\\\phantom{328)}284\\\end{array}
Find closest multiple of 328 to 612. We see that 1 \times 328 = 328 is the nearest. Now subtract 328 from 612 to get reminder 284. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }284
Since 284 is less than 328, stop the division. The reminder is 284. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}