Evaluate
4
Factor
2^{2}
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\begin{array}{l}\phantom{484)}\phantom{1}\\484\overline{)1936}\\\end{array}
Use the 1^{st} digit 1 from dividend 1936
\begin{array}{l}\phantom{484)}0\phantom{2}\\484\overline{)1936}\\\end{array}
Since 1 is less than 484, use the next digit 9 from dividend 1936 and add 0 to the quotient
\begin{array}{l}\phantom{484)}0\phantom{3}\\484\overline{)1936}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1936
\begin{array}{l}\phantom{484)}00\phantom{4}\\484\overline{)1936}\\\end{array}
Since 19 is less than 484, use the next digit 3 from dividend 1936 and add 0 to the quotient
\begin{array}{l}\phantom{484)}00\phantom{5}\\484\overline{)1936}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1936
\begin{array}{l}\phantom{484)}000\phantom{6}\\484\overline{)1936}\\\end{array}
Since 193 is less than 484, use the next digit 6 from dividend 1936 and add 0 to the quotient
\begin{array}{l}\phantom{484)}000\phantom{7}\\484\overline{)1936}\\\end{array}
Use the 4^{th} digit 6 from dividend 1936
\begin{array}{l}\phantom{484)}0004\phantom{8}\\484\overline{)1936}\\\phantom{484)}\underline{\phantom{}1936\phantom{}}\\\phantom{484)9999}0\\\end{array}
Find closest multiple of 484 to 1936. We see that 4 \times 484 = 1936 is the nearest. Now subtract 1936 from 1936 to get reminder 0. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }0
Since 0 is less than 484, stop the division. The reminder is 0. The topmost line 0004 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}