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\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)628}\\\end{array}
Use the 1^{st} digit 6 from dividend 628
\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)628}\\\end{array}
Since 6 is less than 314, use the next digit 2 from dividend 628 and add 0 to the quotient
\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)628}\\\end{array}
Use the 2^{nd} digit 2 from dividend 628
\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)628}\\\end{array}
Since 62 is less than 314, use the next digit 8 from dividend 628 and add 0 to the quotient
\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)628}\\\end{array}
Use the 3^{rd} digit 8 from dividend 628
\begin{array}{l}\phantom{314)}002\phantom{6}\\314\overline{)628}\\\phantom{314)}\underline{\phantom{}628\phantom{}}\\\phantom{314)999}0\\\end{array}
Find closest multiple of 314 to 628. We see that 2 \times 314 = 628 is the nearest. Now subtract 628 from 628 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 314, stop the division. The reminder is 0. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}