Evaluate
\frac{1344}{5}=268.8
Factor
\frac{2 ^ {6} \cdot 3 \cdot 7}{5} = 268\frac{4}{5} = 268.8
Share
Copied to clipboard
\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)6720}\\\end{array}
Use the 1^{st} digit 6 from dividend 6720
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)6720}\\\end{array}
Since 6 is less than 25, use the next digit 7 from dividend 6720 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)6720}\\\end{array}
Use the 2^{nd} digit 7 from dividend 6720
\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)6720}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}17\\\end{array}
Find closest multiple of 25 to 67. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 67 to get reminder 17. Add 2 to quotient.
\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)6720}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}172\\\end{array}
Use the 3^{rd} digit 2 from dividend 6720
\begin{array}{l}\phantom{25)}026\phantom{6}\\25\overline{)6720}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}172\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}22\\\end{array}
Find closest multiple of 25 to 172. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 172 to get reminder 22. Add 6 to quotient.
\begin{array}{l}\phantom{25)}026\phantom{7}\\25\overline{)6720}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}172\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}220\\\end{array}
Use the 4^{th} digit 0 from dividend 6720
\begin{array}{l}\phantom{25)}0268\phantom{8}\\25\overline{)6720}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}172\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}220\\\phantom{25)}\underline{\phantom{9}200\phantom{}}\\\phantom{25)99}20\\\end{array}
Find closest multiple of 25 to 220. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 220 to get reminder 20. Add 8 to quotient.
\text{Quotient: }268 \text{Reminder: }20
Since 20 is less than 25, stop the division. The reminder is 20. The topmost line 0268 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 268.
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}