Evaluate
37
Factor
37
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\begin{array}{l}\phantom{266)}\phantom{1}\\266\overline{)9842}\\\end{array}
Use the 1^{st} digit 9 from dividend 9842
\begin{array}{l}\phantom{266)}0\phantom{2}\\266\overline{)9842}\\\end{array}
Since 9 is less than 266, use the next digit 8 from dividend 9842 and add 0 to the quotient
\begin{array}{l}\phantom{266)}0\phantom{3}\\266\overline{)9842}\\\end{array}
Use the 2^{nd} digit 8 from dividend 9842
\begin{array}{l}\phantom{266)}00\phantom{4}\\266\overline{)9842}\\\end{array}
Since 98 is less than 266, use the next digit 4 from dividend 9842 and add 0 to the quotient
\begin{array}{l}\phantom{266)}00\phantom{5}\\266\overline{)9842}\\\end{array}
Use the 3^{rd} digit 4 from dividend 9842
\begin{array}{l}\phantom{266)}003\phantom{6}\\266\overline{)9842}\\\phantom{266)}\underline{\phantom{}798\phantom{9}}\\\phantom{266)}186\\\end{array}
Find closest multiple of 266 to 984. We see that 3 \times 266 = 798 is the nearest. Now subtract 798 from 984 to get reminder 186. Add 3 to quotient.
\begin{array}{l}\phantom{266)}003\phantom{7}\\266\overline{)9842}\\\phantom{266)}\underline{\phantom{}798\phantom{9}}\\\phantom{266)}1862\\\end{array}
Use the 4^{th} digit 2 from dividend 9842
\begin{array}{l}\phantom{266)}0037\phantom{8}\\266\overline{)9842}\\\phantom{266)}\underline{\phantom{}798\phantom{9}}\\\phantom{266)}1862\\\phantom{266)}\underline{\phantom{}1862\phantom{}}\\\phantom{266)9999}0\\\end{array}
Find closest multiple of 266 to 1862. We see that 7 \times 266 = 1862 is the nearest. Now subtract 1862 from 1862 to get reminder 0. Add 7 to quotient.
\text{Quotient: }37 \text{Reminder: }0
Since 0 is less than 266, 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}