Evaluate
\frac{5000}{3}\approx 1666.666666667
Factor
\frac{2 ^ {3} \cdot 5 ^ {4}}{3} = 1666\frac{2}{3} = 1666.6666666666667
Share
Copied to clipboard
\begin{array}{l}\phantom{7800)}\phantom{1}\\7800\overline{)13000000}\\\end{array}
Use the 1^{st} digit 1 from dividend 13000000
\begin{array}{l}\phantom{7800)}0\phantom{2}\\7800\overline{)13000000}\\\end{array}
Since 1 is less than 7800, use the next digit 3 from dividend 13000000 and add 0 to the quotient
\begin{array}{l}\phantom{7800)}0\phantom{3}\\7800\overline{)13000000}\\\end{array}
Use the 2^{nd} digit 3 from dividend 13000000
\begin{array}{l}\phantom{7800)}00\phantom{4}\\7800\overline{)13000000}\\\end{array}
Since 13 is less than 7800, use the next digit 0 from dividend 13000000 and add 0 to the quotient
\begin{array}{l}\phantom{7800)}00\phantom{5}\\7800\overline{)13000000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 13000000
\begin{array}{l}\phantom{7800)}000\phantom{6}\\7800\overline{)13000000}\\\end{array}
Since 130 is less than 7800, use the next digit 0 from dividend 13000000 and add 0 to the quotient
\begin{array}{l}\phantom{7800)}000\phantom{7}\\7800\overline{)13000000}\\\end{array}
Use the 4^{th} digit 0 from dividend 13000000
\begin{array}{l}\phantom{7800)}0000\phantom{8}\\7800\overline{)13000000}\\\end{array}
Since 1300 is less than 7800, use the next digit 0 from dividend 13000000 and add 0 to the quotient
\begin{array}{l}\phantom{7800)}0000\phantom{9}\\7800\overline{)13000000}\\\end{array}
Use the 5^{th} digit 0 from dividend 13000000
\begin{array}{l}\phantom{7800)}00001\phantom{10}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}5200\\\end{array}
Find closest multiple of 7800 to 13000. We see that 1 \times 7800 = 7800 is the nearest. Now subtract 7800 from 13000 to get reminder 5200. Add 1 to quotient.
\begin{array}{l}\phantom{7800)}00001\phantom{11}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}52000\\\end{array}
Use the 6^{th} digit 0 from dividend 13000000
\begin{array}{l}\phantom{7800)}000016\phantom{12}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}52000\\\phantom{7800)}\underline{\phantom{9}46800\phantom{99}}\\\phantom{7800)99}5200\\\end{array}
Find closest multiple of 7800 to 52000. We see that 6 \times 7800 = 46800 is the nearest. Now subtract 46800 from 52000 to get reminder 5200. Add 6 to quotient.
\begin{array}{l}\phantom{7800)}000016\phantom{13}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}52000\\\phantom{7800)}\underline{\phantom{9}46800\phantom{99}}\\\phantom{7800)99}52000\\\end{array}
Use the 7^{th} digit 0 from dividend 13000000
\begin{array}{l}\phantom{7800)}0000166\phantom{14}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}52000\\\phantom{7800)}\underline{\phantom{9}46800\phantom{99}}\\\phantom{7800)99}52000\\\phantom{7800)}\underline{\phantom{99}46800\phantom{9}}\\\phantom{7800)999}5200\\\end{array}
Find closest multiple of 7800 to 52000. We see that 6 \times 7800 = 46800 is the nearest. Now subtract 46800 from 52000 to get reminder 5200. Add 6 to quotient.
\begin{array}{l}\phantom{7800)}0000166\phantom{15}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}52000\\\phantom{7800)}\underline{\phantom{9}46800\phantom{99}}\\\phantom{7800)99}52000\\\phantom{7800)}\underline{\phantom{99}46800\phantom{9}}\\\phantom{7800)999}52000\\\end{array}
Use the 8^{th} digit 0 from dividend 13000000
\begin{array}{l}\phantom{7800)}00001666\phantom{16}\\7800\overline{)13000000}\\\phantom{7800)}\underline{\phantom{9}7800\phantom{999}}\\\phantom{7800)9}52000\\\phantom{7800)}\underline{\phantom{9}46800\phantom{99}}\\\phantom{7800)99}52000\\\phantom{7800)}\underline{\phantom{99}46800\phantom{9}}\\\phantom{7800)999}52000\\\phantom{7800)}\underline{\phantom{999}46800\phantom{}}\\\phantom{7800)9999}5200\\\end{array}
Find closest multiple of 7800 to 52000. We see that 6 \times 7800 = 46800 is the nearest. Now subtract 46800 from 52000 to get reminder 5200. Add 6 to quotient.
\text{Quotient: }1666 \text{Reminder: }5200
Since 5200 is less than 7800, stop the division. The reminder is 5200. The topmost line 00001666 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1666.
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}