Evaluate
\frac{9375000}{733}\approx 12789.904502046
Factor
\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {8}}{733} = 12789\frac{663}{733} = 12789.904502046385
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\begin{array}{l}\phantom{733)}\phantom{1}\\733\overline{)9375000}\\\end{array}
Use the 1^{st} digit 9 from dividend 9375000
\begin{array}{l}\phantom{733)}0\phantom{2}\\733\overline{)9375000}\\\end{array}
Since 9 is less than 733, use the next digit 3 from dividend 9375000 and add 0 to the quotient
\begin{array}{l}\phantom{733)}0\phantom{3}\\733\overline{)9375000}\\\end{array}
Use the 2^{nd} digit 3 from dividend 9375000
\begin{array}{l}\phantom{733)}00\phantom{4}\\733\overline{)9375000}\\\end{array}
Since 93 is less than 733, use the next digit 7 from dividend 9375000 and add 0 to the quotient
\begin{array}{l}\phantom{733)}00\phantom{5}\\733\overline{)9375000}\\\end{array}
Use the 3^{rd} digit 7 from dividend 9375000
\begin{array}{l}\phantom{733)}001\phantom{6}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}204\\\end{array}
Find closest multiple of 733 to 937. We see that 1 \times 733 = 733 is the nearest. Now subtract 733 from 937 to get reminder 204. Add 1 to quotient.
\begin{array}{l}\phantom{733)}001\phantom{7}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\end{array}
Use the 4^{th} digit 5 from dividend 9375000
\begin{array}{l}\phantom{733)}0012\phantom{8}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}579\\\end{array}
Find closest multiple of 733 to 2045. We see that 2 \times 733 = 1466 is the nearest. Now subtract 1466 from 2045 to get reminder 579. Add 2 to quotient.
\begin{array}{l}\phantom{733)}0012\phantom{9}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}5790\\\end{array}
Use the 5^{th} digit 0 from dividend 9375000
\begin{array}{l}\phantom{733)}00127\phantom{10}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}5790\\\phantom{733)}\underline{\phantom{9}5131\phantom{99}}\\\phantom{733)99}659\\\end{array}
Find closest multiple of 733 to 5790. We see that 7 \times 733 = 5131 is the nearest. Now subtract 5131 from 5790 to get reminder 659. Add 7 to quotient.
\begin{array}{l}\phantom{733)}00127\phantom{11}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}5790\\\phantom{733)}\underline{\phantom{9}5131\phantom{99}}\\\phantom{733)99}6590\\\end{array}
Use the 6^{th} digit 0 from dividend 9375000
\begin{array}{l}\phantom{733)}001278\phantom{12}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}5790\\\phantom{733)}\underline{\phantom{9}5131\phantom{99}}\\\phantom{733)99}6590\\\phantom{733)}\underline{\phantom{99}5864\phantom{9}}\\\phantom{733)999}726\\\end{array}
Find closest multiple of 733 to 6590. We see that 8 \times 733 = 5864 is the nearest. Now subtract 5864 from 6590 to get reminder 726. Add 8 to quotient.
\begin{array}{l}\phantom{733)}001278\phantom{13}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}5790\\\phantom{733)}\underline{\phantom{9}5131\phantom{99}}\\\phantom{733)99}6590\\\phantom{733)}\underline{\phantom{99}5864\phantom{9}}\\\phantom{733)999}7260\\\end{array}
Use the 7^{th} digit 0 from dividend 9375000
\begin{array}{l}\phantom{733)}0012789\phantom{14}\\733\overline{)9375000}\\\phantom{733)}\underline{\phantom{}733\phantom{9999}}\\\phantom{733)}2045\\\phantom{733)}\underline{\phantom{}1466\phantom{999}}\\\phantom{733)9}5790\\\phantom{733)}\underline{\phantom{9}5131\phantom{99}}\\\phantom{733)99}6590\\\phantom{733)}\underline{\phantom{99}5864\phantom{9}}\\\phantom{733)999}7260\\\phantom{733)}\underline{\phantom{999}6597\phantom{}}\\\phantom{733)9999}663\\\end{array}
Find closest multiple of 733 to 7260. We see that 9 \times 733 = 6597 is the nearest. Now subtract 6597 from 7260 to get reminder 663. Add 9 to quotient.
\text{Quotient: }12789 \text{Reminder: }663
Since 663 is less than 733, stop the division. The reminder is 663. The topmost line 0012789 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12789.
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}