Evaluate
15
Factor
3\times 5
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)15000}\\\end{array}
Use the 1^{st} digit 1 from dividend 15000
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)15000}\\\end{array}
Since 1 is less than 1000, use the next digit 5 from dividend 15000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)15000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15000
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)15000}\\\end{array}
Since 15 is less than 1000, use the next digit 0 from dividend 15000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)15000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 15000
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)15000}\\\end{array}
Since 150 is less than 1000, use the next digit 0 from dividend 15000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)15000}\\\end{array}
Use the 4^{th} digit 0 from dividend 15000
\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)15000}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}500\\\end{array}
Find closest multiple of 1000 to 1500. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1500 to get reminder 500. Add 1 to quotient.
\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)15000}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}5000\\\end{array}
Use the 5^{th} digit 0 from dividend 15000
\begin{array}{l}\phantom{1000)}00015\phantom{10}\\1000\overline{)15000}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}5000\\\phantom{1000)}\underline{\phantom{9}5000\phantom{}}\\\phantom{1000)99999}0\\\end{array}
Find closest multiple of 1000 to 5000. We see that 5 \times 1000 = 5000 is the nearest. Now subtract 5000 from 5000 to get reminder 0. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }0
Since 0 is less than 1000, stop the division. The reminder is 0. 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}