Evaluate
7
Factor
7
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)7000}\\\end{array}
Use the 1^{st} digit 7 from dividend 7000
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)7000}\\\end{array}
Since 7 is less than 1000, use the next digit 0 from dividend 7000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)7000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 7000
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)7000}\\\end{array}
Since 70 is less than 1000, use the next digit 0 from dividend 7000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)7000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7000
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)7000}\\\end{array}
Since 700 is less than 1000, use the next digit 0 from dividend 7000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)7000}\\\end{array}
Use the 4^{th} digit 0 from dividend 7000
\begin{array}{l}\phantom{1000)}0007\phantom{8}\\1000\overline{)7000}\\\phantom{1000)}\underline{\phantom{}7000\phantom{}}\\\phantom{1000)9999}0\\\end{array}
Find closest multiple of 1000 to 7000. We see that 7 \times 1000 = 7000 is the nearest. Now subtract 7000 from 7000 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 1000, stop the division. The reminder is 0. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}