Evaluate
\frac{448}{73}\approx 6.136986301
Factor
\frac{2 ^ {6} \cdot 7}{73} = 6\frac{10}{73} = 6.136986301369863
Share
Copied to clipboard
\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)2240}\\\end{array}
Use the 1^{st} digit 2 from dividend 2240
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)2240}\\\end{array}
Since 2 is less than 365, use the next digit 2 from dividend 2240 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)2240}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2240
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)2240}\\\end{array}
Since 22 is less than 365, use the next digit 4 from dividend 2240 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)2240}\\\end{array}
Use the 3^{rd} digit 4 from dividend 2240
\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)2240}\\\end{array}
Since 224 is less than 365, use the next digit 0 from dividend 2240 and add 0 to the quotient
\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)2240}\\\end{array}
Use the 4^{th} digit 0 from dividend 2240
\begin{array}{l}\phantom{365)}0006\phantom{8}\\365\overline{)2240}\\\phantom{365)}\underline{\phantom{}2190\phantom{}}\\\phantom{365)99}50\\\end{array}
Find closest multiple of 365 to 2240. We see that 6 \times 365 = 2190 is the nearest. Now subtract 2190 from 2240 to get reminder 50. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }50
Since 50 is less than 365, stop the division. The reminder is 50. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}