Evaluate
\frac{125000}{3}\approx 41666.666666667
Factor
\frac{2 ^ {3} \cdot 5 ^ {6}}{3} = 41666\frac{2}{3} = 41666.666666666664
Share
Copied to clipboard
\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)4000000}\\\end{array}
Use the 1^{st} digit 4 from dividend 4000000
\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)4000000}\\\end{array}
Since 4 is less than 96, use the next digit 0 from dividend 4000000 and add 0 to the quotient
\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)4000000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 4000000
\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)4000000}\\\end{array}
Since 40 is less than 96, use the next digit 0 from dividend 4000000 and add 0 to the quotient
\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)4000000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4000000
\begin{array}{l}\phantom{96)}004\phantom{6}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}16\\\end{array}
Find closest multiple of 96 to 400. We see that 4 \times 96 = 384 is the nearest. Now subtract 384 from 400 to get reminder 16. Add 4 to quotient.
\begin{array}{l}\phantom{96)}004\phantom{7}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\end{array}
Use the 4^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{96)}0041\phantom{8}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}64\\\end{array}
Find closest multiple of 96 to 160. We see that 1 \times 96 = 96 is the nearest. Now subtract 96 from 160 to get reminder 64. Add 1 to quotient.
\begin{array}{l}\phantom{96)}0041\phantom{9}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}640\\\end{array}
Use the 5^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{96)}00416\phantom{10}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}640\\\phantom{96)}\underline{\phantom{99}576\phantom{99}}\\\phantom{96)999}64\\\end{array}
Find closest multiple of 96 to 640. We see that 6 \times 96 = 576 is the nearest. Now subtract 576 from 640 to get reminder 64. Add 6 to quotient.
\begin{array}{l}\phantom{96)}00416\phantom{11}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}640\\\phantom{96)}\underline{\phantom{99}576\phantom{99}}\\\phantom{96)999}640\\\end{array}
Use the 6^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{96)}004166\phantom{12}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}640\\\phantom{96)}\underline{\phantom{99}576\phantom{99}}\\\phantom{96)999}640\\\phantom{96)}\underline{\phantom{999}576\phantom{9}}\\\phantom{96)9999}64\\\end{array}
Find closest multiple of 96 to 640. We see that 6 \times 96 = 576 is the nearest. Now subtract 576 from 640 to get reminder 64. Add 6 to quotient.
\begin{array}{l}\phantom{96)}004166\phantom{13}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}640\\\phantom{96)}\underline{\phantom{99}576\phantom{99}}\\\phantom{96)999}640\\\phantom{96)}\underline{\phantom{999}576\phantom{9}}\\\phantom{96)9999}640\\\end{array}
Use the 7^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{96)}0041666\phantom{14}\\96\overline{)4000000}\\\phantom{96)}\underline{\phantom{}384\phantom{9999}}\\\phantom{96)9}160\\\phantom{96)}\underline{\phantom{99}96\phantom{999}}\\\phantom{96)99}640\\\phantom{96)}\underline{\phantom{99}576\phantom{99}}\\\phantom{96)999}640\\\phantom{96)}\underline{\phantom{999}576\phantom{9}}\\\phantom{96)9999}640\\\phantom{96)}\underline{\phantom{9999}576\phantom{}}\\\phantom{96)99999}64\\\end{array}
Find closest multiple of 96 to 640. We see that 6 \times 96 = 576 is the nearest. Now subtract 576 from 640 to get reminder 64. Add 6 to quotient.
\text{Quotient: }41666 \text{Reminder: }64
Since 64 is less than 96, stop the division. The reminder is 64. The topmost line 0041666 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41666.
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}