Evaluate
4
Factor
2^{2}
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\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)124}\\\end{array}
Use the 1^{st} digit 1 from dividend 124
\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)124}\\\end{array}
Since 1 is less than 31, use the next digit 2 from dividend 124 and add 0 to the quotient
\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)124}\\\end{array}
Use the 2^{nd} digit 2 from dividend 124
\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)124}\\\end{array}
Since 12 is less than 31, use the next digit 4 from dividend 124 and add 0 to the quotient
\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)124}\\\end{array}
Use the 3^{rd} digit 4 from dividend 124
\begin{array}{l}\phantom{31)}004\phantom{6}\\31\overline{)124}\\\phantom{31)}\underline{\phantom{}124\phantom{}}\\\phantom{31)999}0\\\end{array}
Find closest multiple of 31 to 124. We see that 4 \times 31 = 124 is the nearest. Now subtract 124 from 124 to get reminder 0. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }0
Since 0 is less than 31, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}