Evaluate
\frac{674567}{1000}=674.567
Factor
\frac{23 \cdot 139 \cdot 211}{2 ^ {3} \cdot 5 ^ {3}} = 674\frac{567}{1000} = 674.567
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)674567}\\\end{array}
Use the 1^{st} digit 6 from dividend 674567
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)674567}\\\end{array}
Since 6 is less than 1000, use the next digit 7 from dividend 674567 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)674567}\\\end{array}
Use the 2^{nd} digit 7 from dividend 674567
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)674567}\\\end{array}
Since 67 is less than 1000, use the next digit 4 from dividend 674567 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)674567}\\\end{array}
Use the 3^{rd} digit 4 from dividend 674567
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)674567}\\\end{array}
Since 674 is less than 1000, use the next digit 5 from dividend 674567 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)674567}\\\end{array}
Use the 4^{th} digit 5 from dividend 674567
\begin{array}{l}\phantom{1000)}0006\phantom{8}\\1000\overline{)674567}\\\phantom{1000)}\underline{\phantom{}6000\phantom{99}}\\\phantom{1000)9}745\\\end{array}
Find closest multiple of 1000 to 6745. We see that 6 \times 1000 = 6000 is the nearest. Now subtract 6000 from 6745 to get reminder 745. Add 6 to quotient.
\begin{array}{l}\phantom{1000)}0006\phantom{9}\\1000\overline{)674567}\\\phantom{1000)}\underline{\phantom{}6000\phantom{99}}\\\phantom{1000)9}7456\\\end{array}
Use the 5^{th} digit 6 from dividend 674567
\begin{array}{l}\phantom{1000)}00067\phantom{10}\\1000\overline{)674567}\\\phantom{1000)}\underline{\phantom{}6000\phantom{99}}\\\phantom{1000)9}7456\\\phantom{1000)}\underline{\phantom{9}7000\phantom{9}}\\\phantom{1000)99}456\\\end{array}
Find closest multiple of 1000 to 7456. We see that 7 \times 1000 = 7000 is the nearest. Now subtract 7000 from 7456 to get reminder 456. Add 7 to quotient.
\begin{array}{l}\phantom{1000)}00067\phantom{11}\\1000\overline{)674567}\\\phantom{1000)}\underline{\phantom{}6000\phantom{99}}\\\phantom{1000)9}7456\\\phantom{1000)}\underline{\phantom{9}7000\phantom{9}}\\\phantom{1000)99}4567\\\end{array}
Use the 6^{th} digit 7 from dividend 674567
\begin{array}{l}\phantom{1000)}000674\phantom{12}\\1000\overline{)674567}\\\phantom{1000)}\underline{\phantom{}6000\phantom{99}}\\\phantom{1000)9}7456\\\phantom{1000)}\underline{\phantom{9}7000\phantom{9}}\\\phantom{1000)99}4567\\\phantom{1000)}\underline{\phantom{99}4000\phantom{}}\\\phantom{1000)999}567\\\end{array}
Find closest multiple of 1000 to 4567. We see that 4 \times 1000 = 4000 is the nearest. Now subtract 4000 from 4567 to get reminder 567. Add 4 to quotient.
\text{Quotient: }674 \text{Reminder: }567
Since 567 is less than 1000, stop the division. The reminder is 567. The topmost line 000674 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 674.
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}