Evaluate
\frac{204}{35}\approx 5.828571429
Factor
\frac{2 ^ {2} \cdot 3 \cdot 17}{5 \cdot 7} = 5\frac{29}{35} = 5.828571428571428
Share
Copied to clipboard
\begin{array}{l}\phantom{105)}\phantom{1}\\105\overline{)612}\\\end{array}
Use the 1^{st} digit 6 from dividend 612
\begin{array}{l}\phantom{105)}0\phantom{2}\\105\overline{)612}\\\end{array}
Since 6 is less than 105, use the next digit 1 from dividend 612 and add 0 to the quotient
\begin{array}{l}\phantom{105)}0\phantom{3}\\105\overline{)612}\\\end{array}
Use the 2^{nd} digit 1 from dividend 612
\begin{array}{l}\phantom{105)}00\phantom{4}\\105\overline{)612}\\\end{array}
Since 61 is less than 105, use the next digit 2 from dividend 612 and add 0 to the quotient
\begin{array}{l}\phantom{105)}00\phantom{5}\\105\overline{)612}\\\end{array}
Use the 3^{rd} digit 2 from dividend 612
\begin{array}{l}\phantom{105)}005\phantom{6}\\105\overline{)612}\\\phantom{105)}\underline{\phantom{}525\phantom{}}\\\phantom{105)9}87\\\end{array}
Find closest multiple of 105 to 612. We see that 5 \times 105 = 525 is the nearest. Now subtract 525 from 612 to get reminder 87. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }87
Since 87 is less than 105, stop the division. The reminder is 87. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}