Evaluate
\frac{440}{317}\approx 1.388012618
Factor
\frac{2 ^ {3} \cdot 5 \cdot 11}{317} = 1\frac{123}{317} = 1.38801261829653
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\begin{array}{l}\phantom{1268)}\phantom{1}\\1268\overline{)1760}\\\end{array}
Use the 1^{st} digit 1 from dividend 1760
\begin{array}{l}\phantom{1268)}0\phantom{2}\\1268\overline{)1760}\\\end{array}
Since 1 is less than 1268, use the next digit 7 from dividend 1760 and add 0 to the quotient
\begin{array}{l}\phantom{1268)}0\phantom{3}\\1268\overline{)1760}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1760
\begin{array}{l}\phantom{1268)}00\phantom{4}\\1268\overline{)1760}\\\end{array}
Since 17 is less than 1268, use the next digit 6 from dividend 1760 and add 0 to the quotient
\begin{array}{l}\phantom{1268)}00\phantom{5}\\1268\overline{)1760}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1760
\begin{array}{l}\phantom{1268)}000\phantom{6}\\1268\overline{)1760}\\\end{array}
Since 176 is less than 1268, use the next digit 0 from dividend 1760 and add 0 to the quotient
\begin{array}{l}\phantom{1268)}000\phantom{7}\\1268\overline{)1760}\\\end{array}
Use the 4^{th} digit 0 from dividend 1760
\begin{array}{l}\phantom{1268)}0001\phantom{8}\\1268\overline{)1760}\\\phantom{1268)}\underline{\phantom{}1268\phantom{}}\\\phantom{1268)9}492\\\end{array}
Find closest multiple of 1268 to 1760. We see that 1 \times 1268 = 1268 is the nearest. Now subtract 1268 from 1760 to get reminder 492. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }492
Since 492 is less than 1268, stop the division. The reminder is 492. The topmost line 0001 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}