Evaluate
\frac{384}{5}=76.8
Factor
\frac{2 ^ {7} \cdot 3}{5} = 76\frac{4}{5} = 76.8
Share
Copied to clipboard
\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1920}\\\end{array}
Use the 1^{st} digit 1 from dividend 1920
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1920}\\\end{array}
Since 1 is less than 25, use the next digit 9 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1920}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1920
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1920}\\\end{array}
Since 19 is less than 25, use the next digit 2 from dividend 1920 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1920}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1920
\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)1920}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}17\\\end{array}
Find closest multiple of 25 to 192. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 192 to get reminder 17. Add 7 to quotient.
\begin{array}{l}\phantom{25)}007\phantom{7}\\25\overline{)1920}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}170\\\end{array}
Use the 4^{th} digit 0 from dividend 1920
\begin{array}{l}\phantom{25)}0076\phantom{8}\\25\overline{)1920}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}170\\\phantom{25)}\underline{\phantom{9}150\phantom{}}\\\phantom{25)99}20\\\end{array}
Find closest multiple of 25 to 170. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 170 to get reminder 20. Add 6 to quotient.
\text{Quotient: }76 \text{Reminder: }20
Since 20 is less than 25, stop the division. The reminder is 20. The topmost line 0076 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 76.
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}