Evaluate
\frac{15607}{1000}=15.607
Factor
\frac{15607}{2 ^ {3} \cdot 5 ^ {3}} = 15\frac{607}{1000} = 15.607
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)15607}\\\end{array}
Use the 1^{st} digit 1 from dividend 15607
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)15607}\\\end{array}
Since 1 is less than 1000, use the next digit 5 from dividend 15607 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)15607}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15607
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)15607}\\\end{array}
Since 15 is less than 1000, use the next digit 6 from dividend 15607 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)15607}\\\end{array}
Use the 3^{rd} digit 6 from dividend 15607
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)15607}\\\end{array}
Since 156 is less than 1000, use the next digit 0 from dividend 15607 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)15607}\\\end{array}
Use the 4^{th} digit 0 from dividend 15607
\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)15607}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}560\\\end{array}
Find closest multiple of 1000 to 1560. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1560 to get reminder 560. Add 1 to quotient.
\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)15607}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}5607\\\end{array}
Use the 5^{th} digit 7 from dividend 15607
\begin{array}{l}\phantom{1000)}00015\phantom{10}\\1000\overline{)15607}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}5607\\\phantom{1000)}\underline{\phantom{9}5000\phantom{}}\\\phantom{1000)99}607\\\end{array}
Find closest multiple of 1000 to 5607. We see that 5 \times 1000 = 5000 is the nearest. Now subtract 5000 from 5607 to get reminder 607. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }607
Since 607 is less than 1000, stop the division. The reminder is 607. The topmost line 00015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}