Evaluate
\frac{94}{83}\approx 1.13253012
Factor
\frac{2 \cdot 47}{83} = 1\frac{11}{83} = 1.1325301204819278
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\begin{array}{l}\phantom{41500)}\phantom{1}\\41500\overline{)47000}\\\end{array}
Use the 1^{st} digit 4 from dividend 47000
\begin{array}{l}\phantom{41500)}0\phantom{2}\\41500\overline{)47000}\\\end{array}
Since 4 is less than 41500, use the next digit 7 from dividend 47000 and add 0 to the quotient
\begin{array}{l}\phantom{41500)}0\phantom{3}\\41500\overline{)47000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 47000
\begin{array}{l}\phantom{41500)}00\phantom{4}\\41500\overline{)47000}\\\end{array}
Since 47 is less than 41500, use the next digit 0 from dividend 47000 and add 0 to the quotient
\begin{array}{l}\phantom{41500)}00\phantom{5}\\41500\overline{)47000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 47000
\begin{array}{l}\phantom{41500)}000\phantom{6}\\41500\overline{)47000}\\\end{array}
Since 470 is less than 41500, use the next digit 0 from dividend 47000 and add 0 to the quotient
\begin{array}{l}\phantom{41500)}000\phantom{7}\\41500\overline{)47000}\\\end{array}
Use the 4^{th} digit 0 from dividend 47000
\begin{array}{l}\phantom{41500)}0000\phantom{8}\\41500\overline{)47000}\\\end{array}
Since 4700 is less than 41500, use the next digit 0 from dividend 47000 and add 0 to the quotient
\begin{array}{l}\phantom{41500)}0000\phantom{9}\\41500\overline{)47000}\\\end{array}
Use the 5^{th} digit 0 from dividend 47000
\begin{array}{l}\phantom{41500)}00001\phantom{10}\\41500\overline{)47000}\\\phantom{41500)}\underline{\phantom{}41500\phantom{}}\\\phantom{41500)9}5500\\\end{array}
Find closest multiple of 41500 to 47000. We see that 1 \times 41500 = 41500 is the nearest. Now subtract 41500 from 47000 to get reminder 5500. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }5500
Since 5500 is less than 41500, stop the division. The reminder is 5500. The topmost line 00001 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}