Evaluate
\frac{56}{39}\approx 1.435897436
Factor
\frac{2 ^ {3} \cdot 7}{3 \cdot 13} = 1\frac{17}{39} = 1.435897435897436
Share
Copied to clipboard
\begin{array}{l}\phantom{39)}\phantom{1}\\39\overline{)56}\\\end{array}
Use the 1^{st} digit 5 from dividend 56
\begin{array}{l}\phantom{39)}0\phantom{2}\\39\overline{)56}\\\end{array}
Since 5 is less than 39, use the next digit 6 from dividend 56 and add 0 to the quotient
\begin{array}{l}\phantom{39)}0\phantom{3}\\39\overline{)56}\\\end{array}
Use the 2^{nd} digit 6 from dividend 56
\begin{array}{l}\phantom{39)}01\phantom{4}\\39\overline{)56}\\\phantom{39)}\underline{\phantom{}39\phantom{}}\\\phantom{39)}17\\\end{array}
Find closest multiple of 39 to 56. We see that 1 \times 39 = 39 is the nearest. Now subtract 39 from 56 to get reminder 17. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }17
Since 17 is less than 39, stop the division. The reminder is 17. The topmost line 01 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}