Evaluate
37
Factor
37
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)37000}\\\end{array}
Use the 1^{st} digit 3 from dividend 37000
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)37000}\\\end{array}
Since 3 is less than 1000, use the next digit 7 from dividend 37000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)37000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 37000
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)37000}\\\end{array}
Since 37 is less than 1000, use the next digit 0 from dividend 37000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)37000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 37000
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)37000}\\\end{array}
Since 370 is less than 1000, use the next digit 0 from dividend 37000 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)37000}\\\end{array}
Use the 4^{th} digit 0 from dividend 37000
\begin{array}{l}\phantom{1000)}0003\phantom{8}\\1000\overline{)37000}\\\phantom{1000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{1000)9}700\\\end{array}
Find closest multiple of 1000 to 3700. We see that 3 \times 1000 = 3000 is the nearest. Now subtract 3000 from 3700 to get reminder 700. Add 3 to quotient.
\begin{array}{l}\phantom{1000)}0003\phantom{9}\\1000\overline{)37000}\\\phantom{1000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{1000)9}7000\\\end{array}
Use the 5^{th} digit 0 from dividend 37000
\begin{array}{l}\phantom{1000)}00037\phantom{10}\\1000\overline{)37000}\\\phantom{1000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{1000)9}7000\\\phantom{1000)}\underline{\phantom{9}7000\phantom{}}\\\phantom{1000)99999}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: }37 \text{Reminder: }0
Since 0 is less than 1000, stop the division. The reminder is 0. The topmost line 00037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.
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}