Evaluate
5
Factor
5
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\begin{array}{l}\phantom{62)}\phantom{1}\\62\overline{)310}\\\end{array}
Use the 1^{st} digit 3 from dividend 310
\begin{array}{l}\phantom{62)}0\phantom{2}\\62\overline{)310}\\\end{array}
Since 3 is less than 62, use the next digit 1 from dividend 310 and add 0 to the quotient
\begin{array}{l}\phantom{62)}0\phantom{3}\\62\overline{)310}\\\end{array}
Use the 2^{nd} digit 1 from dividend 310
\begin{array}{l}\phantom{62)}00\phantom{4}\\62\overline{)310}\\\end{array}
Since 31 is less than 62, use the next digit 0 from dividend 310 and add 0 to the quotient
\begin{array}{l}\phantom{62)}00\phantom{5}\\62\overline{)310}\\\end{array}
Use the 3^{rd} digit 0 from dividend 310
\begin{array}{l}\phantom{62)}005\phantom{6}\\62\overline{)310}\\\phantom{62)}\underline{\phantom{}310\phantom{}}\\\phantom{62)999}0\\\end{array}
Find closest multiple of 62 to 310. We see that 5 \times 62 = 310 is the nearest. Now subtract 310 from 310 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 62, stop the division. The reminder is 0. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}