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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)140}\\\end{array}
Use the 1^{st} digit 1 from dividend 140
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)140}\\\end{array}
Since 1 is less than 70, use the next digit 4 from dividend 140 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)140}\\\end{array}
Use the 2^{nd} digit 4 from dividend 140
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)140}\\\end{array}
Since 14 is less than 70, use the next digit 0 from dividend 140 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)140}\\\end{array}
Use the 3^{rd} digit 0 from dividend 140
\begin{array}{l}\phantom{70)}002\phantom{6}\\70\overline{)140}\\\phantom{70)}\underline{\phantom{}140\phantom{}}\\\phantom{70)999}0\\\end{array}
Find closest multiple of 70 to 140. We see that 2 \times 70 = 140 is the nearest. Now subtract 140 from 140 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 70, 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}