Evaluate
\frac{365}{28}\approx 13.035714286
Factor
\frac{5 \cdot 73}{2 ^ {2} \cdot 7} = 13\frac{1}{28} = 13.035714285714286
Share
Copied to clipboard
\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)365}\\\end{array}
Use the 1^{st} digit 3 from dividend 365
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)365}\\\end{array}
Since 3 is less than 28, use the next digit 6 from dividend 365 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)365}\\\end{array}
Use the 2^{nd} digit 6 from dividend 365
\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)365}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}8\\\end{array}
Find closest multiple of 28 to 36. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 36 to get reminder 8. Add 1 to quotient.
\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)365}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}85\\\end{array}
Use the 3^{rd} digit 5 from dividend 365
\begin{array}{l}\phantom{28)}013\phantom{6}\\28\overline{)365}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}85\\\phantom{28)}\underline{\phantom{9}84\phantom{}}\\\phantom{28)99}1\\\end{array}
Find closest multiple of 28 to 85. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 85 to get reminder 1. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }1
Since 1 is less than 28, stop the division. The reminder is 1. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}