Evaluate
\frac{8400}{11}\approx 763.636363636
Factor
\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {2} \cdot 7}{11} = 763\frac{7}{11} = 763.6363636363636
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\begin{array}{l}\phantom{1100)}\phantom{1}\\1100\overline{)840000}\\\end{array}
Use the 1^{st} digit 8 from dividend 840000
\begin{array}{l}\phantom{1100)}0\phantom{2}\\1100\overline{)840000}\\\end{array}
Since 8 is less than 1100, use the next digit 4 from dividend 840000 and add 0 to the quotient
\begin{array}{l}\phantom{1100)}0\phantom{3}\\1100\overline{)840000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 840000
\begin{array}{l}\phantom{1100)}00\phantom{4}\\1100\overline{)840000}\\\end{array}
Since 84 is less than 1100, use the next digit 0 from dividend 840000 and add 0 to the quotient
\begin{array}{l}\phantom{1100)}00\phantom{5}\\1100\overline{)840000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 840000
\begin{array}{l}\phantom{1100)}000\phantom{6}\\1100\overline{)840000}\\\end{array}
Since 840 is less than 1100, use the next digit 0 from dividend 840000 and add 0 to the quotient
\begin{array}{l}\phantom{1100)}000\phantom{7}\\1100\overline{)840000}\\\end{array}
Use the 4^{th} digit 0 from dividend 840000
\begin{array}{l}\phantom{1100)}0007\phantom{8}\\1100\overline{)840000}\\\phantom{1100)}\underline{\phantom{}7700\phantom{99}}\\\phantom{1100)9}700\\\end{array}
Find closest multiple of 1100 to 8400. We see that 7 \times 1100 = 7700 is the nearest. Now subtract 7700 from 8400 to get reminder 700. Add 7 to quotient.
\begin{array}{l}\phantom{1100)}0007\phantom{9}\\1100\overline{)840000}\\\phantom{1100)}\underline{\phantom{}7700\phantom{99}}\\\phantom{1100)9}7000\\\end{array}
Use the 5^{th} digit 0 from dividend 840000
\begin{array}{l}\phantom{1100)}00076\phantom{10}\\1100\overline{)840000}\\\phantom{1100)}\underline{\phantom{}7700\phantom{99}}\\\phantom{1100)9}7000\\\phantom{1100)}\underline{\phantom{9}6600\phantom{9}}\\\phantom{1100)99}400\\\end{array}
Find closest multiple of 1100 to 7000. We see that 6 \times 1100 = 6600 is the nearest. Now subtract 6600 from 7000 to get reminder 400. Add 6 to quotient.
\begin{array}{l}\phantom{1100)}00076\phantom{11}\\1100\overline{)840000}\\\phantom{1100)}\underline{\phantom{}7700\phantom{99}}\\\phantom{1100)9}7000\\\phantom{1100)}\underline{\phantom{9}6600\phantom{9}}\\\phantom{1100)99}4000\\\end{array}
Use the 6^{th} digit 0 from dividend 840000
\begin{array}{l}\phantom{1100)}000763\phantom{12}\\1100\overline{)840000}\\\phantom{1100)}\underline{\phantom{}7700\phantom{99}}\\\phantom{1100)9}7000\\\phantom{1100)}\underline{\phantom{9}6600\phantom{9}}\\\phantom{1100)99}4000\\\phantom{1100)}\underline{\phantom{99}3300\phantom{}}\\\phantom{1100)999}700\\\end{array}
Find closest multiple of 1100 to 4000. We see that 3 \times 1100 = 3300 is the nearest. Now subtract 3300 from 4000 to get reminder 700. Add 3 to quotient.
\text{Quotient: }763 \text{Reminder: }700
Since 700 is less than 1100, stop the division. The reminder is 700. The topmost line 000763 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 763.
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}