Evaluate
\frac{49}{47}\approx 1.042553191
Factor
\frac{7 ^ {2}}{47} = 1\frac{2}{47} = 1.0425531914893618
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\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)49}\\\end{array}
Use the 1^{st} digit 4 from dividend 49
\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)49}\\\end{array}
Since 4 is less than 47, use the next digit 9 from dividend 49 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)49}\\\end{array}
Use the 2^{nd} digit 9 from dividend 49
\begin{array}{l}\phantom{47)}01\phantom{4}\\47\overline{)49}\\\phantom{47)}\underline{\phantom{}47\phantom{}}\\\phantom{47)9}2\\\end{array}
Find closest multiple of 47 to 49. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 49 to get reminder 2. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }2
Since 2 is less than 47, stop the division. The reminder is 2. The topmost line 01 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}