Evaluate
37
Factor
37
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\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)9250}\\\end{array}
Use the 1^{st} digit 9 from dividend 9250
\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)9250}\\\end{array}
Since 9 is less than 250, use the next digit 2 from dividend 9250 and add 0 to the quotient
\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)9250}\\\end{array}
Use the 2^{nd} digit 2 from dividend 9250
\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)9250}\\\end{array}
Since 92 is less than 250, use the next digit 5 from dividend 9250 and add 0 to the quotient
\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)9250}\\\end{array}
Use the 3^{rd} digit 5 from dividend 9250
\begin{array}{l}\phantom{250)}003\phantom{6}\\250\overline{)9250}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)}175\\\end{array}
Find closest multiple of 250 to 925. We see that 3 \times 250 = 750 is the nearest. Now subtract 750 from 925 to get reminder 175. Add 3 to quotient.
\begin{array}{l}\phantom{250)}003\phantom{7}\\250\overline{)9250}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)}1750\\\end{array}
Use the 4^{th} digit 0 from dividend 9250
\begin{array}{l}\phantom{250)}0037\phantom{8}\\250\overline{)9250}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)}1750\\\phantom{250)}\underline{\phantom{}1750\phantom{}}\\\phantom{250)9999}0\\\end{array}
Find closest multiple of 250 to 1750. We see that 7 \times 250 = 1750 is the nearest. Now subtract 1750 from 1750 to get reminder 0. Add 7 to quotient.
\text{Quotient: }37 \text{Reminder: }0
Since 0 is less than 250, stop the division. The reminder is 0. The topmost line 0037 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}