Evaluate
\frac{7}{4}=1.75
Factor
\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75
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\begin{array}{l}\phantom{280)}\phantom{1}\\280\overline{)490}\\\end{array}
Use the 1^{st} digit 4 from dividend 490
\begin{array}{l}\phantom{280)}0\phantom{2}\\280\overline{)490}\\\end{array}
Since 4 is less than 280, use the next digit 9 from dividend 490 and add 0 to the quotient
\begin{array}{l}\phantom{280)}0\phantom{3}\\280\overline{)490}\\\end{array}
Use the 2^{nd} digit 9 from dividend 490
\begin{array}{l}\phantom{280)}00\phantom{4}\\280\overline{)490}\\\end{array}
Since 49 is less than 280, use the next digit 0 from dividend 490 and add 0 to the quotient
\begin{array}{l}\phantom{280)}00\phantom{5}\\280\overline{)490}\\\end{array}
Use the 3^{rd} digit 0 from dividend 490
\begin{array}{l}\phantom{280)}001\phantom{6}\\280\overline{)490}\\\phantom{280)}\underline{\phantom{}280\phantom{}}\\\phantom{280)}210\\\end{array}
Find closest multiple of 280 to 490. We see that 1 \times 280 = 280 is the nearest. Now subtract 280 from 490 to get reminder 210. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }210
Since 210 is less than 280, stop the division. The reminder is 210. 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}