Evaluate
\frac{1400}{3}\approx 466.666666667
Factor
\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 7}{3} = 466\frac{2}{3} = 466.6666666666667
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\begin{array}{l}\phantom{1200)}\phantom{1}\\1200\overline{)560000}\\\end{array}
Use the 1^{st} digit 5 from dividend 560000
\begin{array}{l}\phantom{1200)}0\phantom{2}\\1200\overline{)560000}\\\end{array}
Since 5 is less than 1200, use the next digit 6 from dividend 560000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}0\phantom{3}\\1200\overline{)560000}\\\end{array}
Use the 2^{nd} digit 6 from dividend 560000
\begin{array}{l}\phantom{1200)}00\phantom{4}\\1200\overline{)560000}\\\end{array}
Since 56 is less than 1200, use the next digit 0 from dividend 560000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}00\phantom{5}\\1200\overline{)560000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 560000
\begin{array}{l}\phantom{1200)}000\phantom{6}\\1200\overline{)560000}\\\end{array}
Since 560 is less than 1200, use the next digit 0 from dividend 560000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}000\phantom{7}\\1200\overline{)560000}\\\end{array}
Use the 4^{th} digit 0 from dividend 560000
\begin{array}{l}\phantom{1200)}0004\phantom{8}\\1200\overline{)560000}\\\phantom{1200)}\underline{\phantom{}4800\phantom{99}}\\\phantom{1200)9}800\\\end{array}
Find closest multiple of 1200 to 5600. We see that 4 \times 1200 = 4800 is the nearest. Now subtract 4800 from 5600 to get reminder 800. Add 4 to quotient.
\begin{array}{l}\phantom{1200)}0004\phantom{9}\\1200\overline{)560000}\\\phantom{1200)}\underline{\phantom{}4800\phantom{99}}\\\phantom{1200)9}8000\\\end{array}
Use the 5^{th} digit 0 from dividend 560000
\begin{array}{l}\phantom{1200)}00046\phantom{10}\\1200\overline{)560000}\\\phantom{1200)}\underline{\phantom{}4800\phantom{99}}\\\phantom{1200)9}8000\\\phantom{1200)}\underline{\phantom{9}7200\phantom{9}}\\\phantom{1200)99}800\\\end{array}
Find closest multiple of 1200 to 8000. We see that 6 \times 1200 = 7200 is the nearest. Now subtract 7200 from 8000 to get reminder 800. Add 6 to quotient.
\begin{array}{l}\phantom{1200)}00046\phantom{11}\\1200\overline{)560000}\\\phantom{1200)}\underline{\phantom{}4800\phantom{99}}\\\phantom{1200)9}8000\\\phantom{1200)}\underline{\phantom{9}7200\phantom{9}}\\\phantom{1200)99}8000\\\end{array}
Use the 6^{th} digit 0 from dividend 560000
\begin{array}{l}\phantom{1200)}000466\phantom{12}\\1200\overline{)560000}\\\phantom{1200)}\underline{\phantom{}4800\phantom{99}}\\\phantom{1200)9}8000\\\phantom{1200)}\underline{\phantom{9}7200\phantom{9}}\\\phantom{1200)99}8000\\\phantom{1200)}\underline{\phantom{99}7200\phantom{}}\\\phantom{1200)999}800\\\end{array}
Find closest multiple of 1200 to 8000. We see that 6 \times 1200 = 7200 is the nearest. Now subtract 7200 from 8000 to get reminder 800. Add 6 to quotient.
\text{Quotient: }466 \text{Reminder: }800
Since 800 is less than 1200, stop the division. The reminder is 800. The topmost line 000466 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}