Evaluate
\frac{4573}{62}\approx 73.758064516
Factor
\frac{17 \cdot 269}{2 \cdot 31} = 73\frac{47}{62} = 73.75806451612904
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\begin{array}{l}\phantom{62)}\phantom{1}\\62\overline{)4573}\\\end{array}
Use the 1^{st} digit 4 from dividend 4573
\begin{array}{l}\phantom{62)}0\phantom{2}\\62\overline{)4573}\\\end{array}
Since 4 is less than 62, use the next digit 5 from dividend 4573 and add 0 to the quotient
\begin{array}{l}\phantom{62)}0\phantom{3}\\62\overline{)4573}\\\end{array}
Use the 2^{nd} digit 5 from dividend 4573
\begin{array}{l}\phantom{62)}00\phantom{4}\\62\overline{)4573}\\\end{array}
Since 45 is less than 62, use the next digit 7 from dividend 4573 and add 0 to the quotient
\begin{array}{l}\phantom{62)}00\phantom{5}\\62\overline{)4573}\\\end{array}
Use the 3^{rd} digit 7 from dividend 4573
\begin{array}{l}\phantom{62)}007\phantom{6}\\62\overline{)4573}\\\phantom{62)}\underline{\phantom{}434\phantom{9}}\\\phantom{62)9}23\\\end{array}
Find closest multiple of 62 to 457. We see that 7 \times 62 = 434 is the nearest. Now subtract 434 from 457 to get reminder 23. Add 7 to quotient.
\begin{array}{l}\phantom{62)}007\phantom{7}\\62\overline{)4573}\\\phantom{62)}\underline{\phantom{}434\phantom{9}}\\\phantom{62)9}233\\\end{array}
Use the 4^{th} digit 3 from dividend 4573
\begin{array}{l}\phantom{62)}0073\phantom{8}\\62\overline{)4573}\\\phantom{62)}\underline{\phantom{}434\phantom{9}}\\\phantom{62)9}233\\\phantom{62)}\underline{\phantom{9}186\phantom{}}\\\phantom{62)99}47\\\end{array}
Find closest multiple of 62 to 233. We see that 3 \times 62 = 186 is the nearest. Now subtract 186 from 233 to get reminder 47. Add 3 to quotient.
\text{Quotient: }73 \text{Reminder: }47
Since 47 is less than 62, stop the division. The reminder is 47. The topmost line 0073 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 73.
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}