Evaluate
\frac{628}{355}\approx 1.769014085
Factor
\frac{2 ^ {2} \cdot 157}{5 \cdot 71} = 1\frac{273}{355} = 1.7690140845070423
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\begin{array}{l}\phantom{355)}\phantom{1}\\355\overline{)628}\\\end{array}
Use the 1^{st} digit 6 from dividend 628
\begin{array}{l}\phantom{355)}0\phantom{2}\\355\overline{)628}\\\end{array}
Since 6 is less than 355, use the next digit 2 from dividend 628 and add 0 to the quotient
\begin{array}{l}\phantom{355)}0\phantom{3}\\355\overline{)628}\\\end{array}
Use the 2^{nd} digit 2 from dividend 628
\begin{array}{l}\phantom{355)}00\phantom{4}\\355\overline{)628}\\\end{array}
Since 62 is less than 355, use the next digit 8 from dividend 628 and add 0 to the quotient
\begin{array}{l}\phantom{355)}00\phantom{5}\\355\overline{)628}\\\end{array}
Use the 3^{rd} digit 8 from dividend 628
\begin{array}{l}\phantom{355)}001\phantom{6}\\355\overline{)628}\\\phantom{355)}\underline{\phantom{}355\phantom{}}\\\phantom{355)}273\\\end{array}
Find closest multiple of 355 to 628. We see that 1 \times 355 = 355 is the nearest. Now subtract 355 from 628 to get reminder 273. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }273
Since 273 is less than 355, stop the division. The reminder is 273. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}