Evaluate
\frac{2334}{5}=466.8
Factor
\frac{2 \cdot 3 \cdot 389}{5} = 466\frac{4}{5} = 466.8
Share
Copied to clipboard
\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)46680}\\\end{array}
Use the 1^{st} digit 4 from dividend 46680
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)46680}\\\end{array}
Since 4 is less than 100, use the next digit 6 from dividend 46680 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)46680}\\\end{array}
Use the 2^{nd} digit 6 from dividend 46680
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)46680}\\\end{array}
Since 46 is less than 100, use the next digit 6 from dividend 46680 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)46680}\\\end{array}
Use the 3^{rd} digit 6 from dividend 46680
\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)46680}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}66\\\end{array}
Find closest multiple of 100 to 466. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 466 to get reminder 66. Add 4 to quotient.
\begin{array}{l}\phantom{100)}004\phantom{7}\\100\overline{)46680}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}668\\\end{array}
Use the 4^{th} digit 8 from dividend 46680
\begin{array}{l}\phantom{100)}0046\phantom{8}\\100\overline{)46680}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}668\\\phantom{100)}\underline{\phantom{9}600\phantom{9}}\\\phantom{100)99}68\\\end{array}
Find closest multiple of 100 to 668. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 668 to get reminder 68. Add 6 to quotient.
\begin{array}{l}\phantom{100)}0046\phantom{9}\\100\overline{)46680}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}668\\\phantom{100)}\underline{\phantom{9}600\phantom{9}}\\\phantom{100)99}680\\\end{array}
Use the 5^{th} digit 0 from dividend 46680
\begin{array}{l}\phantom{100)}00466\phantom{10}\\100\overline{)46680}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}668\\\phantom{100)}\underline{\phantom{9}600\phantom{9}}\\\phantom{100)99}680\\\phantom{100)}\underline{\phantom{99}600\phantom{}}\\\phantom{100)999}80\\\end{array}
Find closest multiple of 100 to 680. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 680 to get reminder 80. Add 6 to quotient.
\text{Quotient: }466 \text{Reminder: }80
Since 80 is less than 100, stop the division. The reminder is 80. The topmost line 00466 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 466.
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}